The derivative of the function ( 0o1(- 100 is equal to esin z Select one: -100)" 99 a. -100 esin z 100 b. -100 esin z cos I 99 c. 100 esin z 99 d. -100 cos I esin z

Q: ind the derivative of the function f(z) = (2r+7) 71+11 %3|

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Q: Find the first and second derivative of the function. 3 G(r) = √r + √r G'(r) G"(r) || =

A: Find the derivative

Q: b) Find the derivative of f at the point P( – 3, – 2) in the direction of ü = ( – 1, – 1) fu( – 3, –…

A: The given function is fx,y=-0.02x2y3. Compute the gradient of f as follows. ∇fx,y=∂∂x, ∂∂y…

Q: Use the rules for derivatives to find the derivative of function defined as follows.

A: Given that: The function is r(t) = 5t2 - 7t3t+13 .

Q: 8. To find the derivative of y = cot* (2x), which of the following is the appropriate value of u? A)…

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Q: Find the derivative of the function. G(z) = (1 – 6z)Vz? + 1 %3D G'(Z) = Need Help? Read It

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: # 41) Use the definition of derivative to find f(r) and "(r) for (r)= 1+ 4r- r

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Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is…

A: Follow the procedure given below.

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Q: Use the Generalized Power Rule to find the derivative of the function. g(z) 5z(7z? – 2z + 1)4 g'(z)…

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Q: Find the derivative of the function f(x, y) =x2 + xy+ y at the point (-5,-4) in the direction in…

A: The function is given as , fx,y=x2+xy+y2 find the derivative at point -5,-4 in the direction in…

Q: ind the first and second derivative of the function. G(r) = Vr + Vr S'(r) "(") %D

A: Given query is to find the indicated derivatives.

Q: The derivative of the following function with respect to y when x=1, y=DO F(x, y) =x³ y – x²+6/xy

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Q: Solve the problem. Let f(0) = 0 and f'(0) = 6. Find the derivative of f(f(f(x))) at x = 0. %3D %3D…

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Q: 2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

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Q: Compute the derivative of the given function in two different ways. x³ + 8x? h(x) = бх? g f' – f •…

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Q: .Which of the statements is/are true about the derivative of a function f and the slope of the…

A: Question is solved.

Q: The derivative of the following fu with respect to x when y: -1

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Q: -2.r 3. Calculate the derivative of g(r) = arctan then verify that it simplifies to g'(r) = %3D

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Q: ax +b 35. y= cx+d 36. y= (x' +4x) 37. y = (r -x+1)

A: 35 Given function is y=ax+bcx+d. Differentiate y=ax+bcx+d with respect to x, we get…

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Q: Compute the function by interpreting it as a derivative. tan? (3 + Ax) – tan?3 lim Ax→0 Ax

A: Apply defination of derivative.

Q: Find the first and second derivative of the function. G(r) = vr + T G'(r) = G"(r) =

A: Given data:   The expression for the given function is G(r)=r^(1/2)+r^(1/9).   The expression for…

Q: 2-r f(r)=2ー: f"(r) 1+r

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Q: Find the derivative of f(r) = 7e®z +e f'(x) = %3D

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Q: Where would derivative f'(x) equal zero? d. Would the derivative be positive, negative, zero, or…

A: Ans c. Slope at cusp and corner is not defined. Slope at curved point (between x=0 and x=1) = 0…

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 9 tan -); P(-10, 10); а…

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). xS + 32y = In y %3D…

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Q: (y-1) (y +2y)* 47. z = 48. y= Vr +1 49. y Vx+ vx

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: 41. y = (1+4x)(3+xx²)' 2. s--1)* +1) 43. y=(2x-5) (8x-5) -x-x 42. s =

A: Differentiation of the function

Q: The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin…

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Q: 32. y= Vile +1+r*)

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

Q: 44. y (x +1)Vxr² +2 45. у 3 17-3x 46. x = Vz+1

A: Given 44 y=x2+1x2+2345 y=x7-3x46 y=z-1z+1

Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

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Q: Use implicit differentiation to find y' and then evaluate y' at (-3,1). x2 - 9y = In y ... y' =D…

A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1

Q: Use the table to the right to find the given derivative. f(x) f(xX) g(x) f(X)g(x) 3 2 5 4 4 3 1 2…

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Q: Find the derivative of the function at the given point in the direction f(x,у) %3D - 5х - 2у,…

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Q: Use implicit differentiation to find the specified derivative at the given point. Find at the point…

A: Find the implicit  derivative at point.

Q: Find the derivative of the given function. g(x) = sec¹(2πx) a) g'(x) = 87 sec³ (2πx) tan(2x) Ob)…

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

Q: Use the figure to find the indicated derivatives, if they exist. (If an answer does not exist, enter…

A: (1) The derivative of h(x) is: h'(x)=f(x)g(x)h'(x)=g(x)f'(x)-f(x)g'(x)g(x)2At x…

Q: More example implicit differentiation on For f(x, y) = 4x² + 9y² – 36 = 0, find y' when x = V5.

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Q: Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve for the derivative of the following functions. Write your answer on a separate sheet of paper.…

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Q: Let y be defined implicitly by the following equation as a function of x and z: eyz + sin(ryz) – xyz…

A: This question is related to partial derivative of implicit function, we will solve it using using…

Q: Find the derivative of the function. g(u) = Vu + 1(1 – 3u2)7

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Q: Find the derivative of the function. f(x) = /2+ V1+ VI %3D f '(x) %3D

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Q: Using the definition of the derivative, find f (x), if f(x)=mx+b where m,b are real.

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Q: C 29. y A+- + 30. у%3 1+ vr 31. у 3D 1+cx

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Q: Find the derivative of the function f(x, y) = tan-1Y at the point (-6, 6) in the direction in which…

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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: