3. b. 13 15 flx)-7 12 37 25 31 42 57 Find First & Second derivative at 2=3.

Q: Let x? + y2 = 10y. First find by implicit differentiation, simplifying the answer where reasonable.…

A: We First differentiate to find the slope of line at given point . Equation of line  y-y1=slope…

Q: dy Assuming that y is defined implicitly by the equation x2 - y? = 89, the derivative at (5, 10) is…

A: To find the value of dy/dx.

Q: х-1 8. у%3Dlog. х+1

A: Given  y=logx-1x+1  =12logx-1x+1 The first derivative is  y'=121x-1x+1ddxx-1x+1…

Q: Eliminate the constant/constants from the following equations. (Refer to the note)   (x-C)2 + y2 =…

A: Given x-c2 + y2 = c2To FindNeed to find differential equation taken c as arbitrary constant

Q: Q7/ find the derivative ) answer five only 1-f(x) =+ 5 e* x4/3 2- f(x) = 2 x² + 3y + 3- f(x) = cot x…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v. dcotxdx = -csc2x

Q: (6) Consider the function h(x) = V – 5.x + 10. (a) Compute the derivative '(r). (b) Find the…

A: Given that, h(x) = x2-5x+10                                       ...........(1)   Ans(a). We have…

Q: Help A certain object moves in such a way that its velocity (in m/s) after time t (in s) is given by…

A: Consider the provided velocity equation,

Q: X 1 2 3 y 1 3 | 4 |9 According to the table, which of the following is the value of y'(1) calculated…

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Q: 0 1 1 3 According to the table, which of the following is the value of y"(2) calculated wit the…

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Q: Q2: Choose the correct answer between brackets for the following: (answer five only) 1) If y =…

A: 5

Q: 2х + 5 а. Ify- dy then find and simplify dx x2 – 1' 2х + 5 b. Suppose we rewrote y as + C, where C…

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Q: a. Assuming a, b and k are constants, calculate the following derivative: d a kt e dt b. Find a…

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Q: 3. Find the derivative of y with respect to x in the followin u? a) у3 u = 3x' - 2 and u' + 1 b)…

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Q: 2 5. x = - 1+t2 2 y= t(1+t²)

A: To find the second derivative of parametric equations, x=21+t2 and y=2t(1+t2), use the formula,…

Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: Assuming a, b and k are constants, calculate the following derivative: kt %3D dt 7 2 |x : -4 1 Find…

A: a)ddtabekt= ddtaektbekt                       =akektbkekt

Q: Find the derivative. 4 Find dw (w + 3) Select one: A. 40w (w2 + 3)6 В. - 40w (w2 + 3,6 O C. (w? + 3)…

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Q: 40Q2 – 4Q,Q2 - 2Q2² – 8 – 6Q2? 40Q2 – 4Q1Q2 - 8Q2? – 8 TB %3D TB Now we have to take the derivative…

A: The marginal profit can be calculated by the derivative of the profit function. The partial…

Q: The first derivative of the function y = 4*.32x is: %3D a) 4*.6* In 36 b) 4*.32x In 4 + 4*6* In 6 c)…

A: given y=4x.32x

Q: Assuming that y is defined implicitly by the equation a? - y? = 100, the derivative - dy at (2, 19)…

A: Here I am attaching image so that you understand each and every step.

Q: 6: Find the following derivatives. If you are using a derivative rule, state the rule or write the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. Given the equation: y = (eln *)?, find y'. 4. Find the derivatives with respect to x of the…

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Q: Specify c 1, Co, C and p such that the formula c-19(s- h) +Cog(s) + ci9(s+ h) g'(s) = hP denotes the…

A: Finite difference is a method of numerical analysis which is used to calculate the derivative of a…

Q: = 2x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point (0, – 2)…

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Q: e y = (t³ – Vī)-3.2, y" dy f. y = r$(1– 2)3, dr²

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Q: a. For any equation containing the variables x and y, the derivative dy/dx can be found by first…

A: To find dydx from an implicit function f(x,y)=C, we differentiate it directly term by term and then…

Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

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Q: Q2) By using Newton forward formula, evaluate the value of the derivative of the following equation…

A: Since you've asked multiple questions, we are supposed to answer only one question here. Please…

Q: Ql findthe Partal derivativescfirsfand WaltxyZ Second) -W-SinczTメ+-32 Zーメーー -2-Ln(X+24+ろ)…

A: according to our guidelines we can answer only three subparts  and rest can be reposted.

Q: 1+E Find the third derivative of y=- 3 -5/2 A 15 -7/2 B -5/2 15 -1/2 D

A:

Q: 1. The derivative of the function I (x) which is given by f )=-2x+3 atx4is A. 59 B. 48 C. 46 D. 10 E…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2t –8 Find the derivative of with respect to t. 4t+8 3t а. (4t+8)² 3t b. (4t+8)? 3 C. (t+2)? 3. d.…

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Q: Q2) By using Newton forward formula, evaluate the value of the derivative of the following equation…

A: Given function is F(x)=-46+45.4x-13.8x2+1.71x3-0.0729x4 So F'(x)=45.4-27.6x+5.13x2-0.2916x3…

Q: The directional derivative of the function = x? - xyz + y at the point (1, 2, -1) in the direction…

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Q: Q2/(A): Use Newton's Forward difference formula to find the first and second derivatives of the…

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Q: 10. у %3D (е 3х+4 +2)/(е2+3х +1) (e-3x -Зx+4

A: Given that, y=e-3x+1+2e2+3x+1

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + V (a) I 9a2-8 e y =…

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Q: Given the function y = 3x? – 6, (a) Find the difference quotient as a function of x and Ax. (b) Find…

A: Given,  y=3x2-6

Q: A particle moves along a straight line and has acceleration given by s(1) = 41 +3. Its initial…

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Q: 1. Find the derivatives of each function then simplify completely. f (x) = 2a - 5a2-+5 y = x'V? +3…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 0 1 2 3 3 4 y 1 According to the table, which of the following is the value of y'(1) calculated with…

A: f'(x)=f(x)-f(x-h)h is known as Two-point Backward difference formula we have  x 0 1 2 3 y=f(x)…

Q: 1) Find the derivatives of the following. Simplify your final answers. (1–3t)5(t³-8) b) g(t) = t + 2…

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Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

A:

Q: 13. Find the derivative of the following functions and simplify the answer: 9+V (a) %3D 32-9 (b) y =…

A: we know that  d/dx(u/v) = (vu'-v'-u)/v^2

Q: find the second derivative of P(t)=117+(t-89)e.02t

A:

Q: An object moves in such a way that its velocity (in meters per second) after time t (in seconds) is…

A: Given An object moves in such a way that its velocity (in meters per second) after time t (in…

Q: Q 3) Find the first six derivatives df d(6) D of x" withn > 6. What would be the dr6 dx sixth…

A: When n>6 then:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: