Зах + 3 for x < -2 f(x) = 2bx2 - x - 3 for x > -2

Q: Use the chain rule to find the derivative of f(x) = 3(9z* – 82®)5 - You do not need to expand out…

A:

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: Determine the maximum value of the function f(x)=2sinxcosx on the interval [0, π]

A:

Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: Differentiate f (x) = x sech x².

A: ddxsech x = (-sech(x) tanh(x)) ddx(u(x)v(x))= u'(x)v(x) + u(x)v'(x). ( Cain rule of derivative)

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

A:

Q: The function f(x,y) =26-2x²-y² is continuous at point (2, -3). .A True .B False

A: The objective is to determine whether the statement, " The function fx,y=26-2x2-y2 is continuous at…

Q: Find the derivative of the function. f(x) = (2x3 − 8x2 + 7)6

A: Given,           The function is fx=2x3-8x2+76.

Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

A:

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

A:

Q: Find the critical points and apply the Second Derivative Test (or state that it fails):  f (x) = 3x4…

A: fx=3x4-8x3+6x2 Differentiating with respect to x, we get f'x=3·4x3-8·3x2+6·2x=12x3-24x2+12x Again…

Q: Find invers of function f(x)=1/2x+1

A:

Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: Consider the function defined on the indicated interval. f(x) = 2a° – 18x2 + 48x – 36, [3, 6] Find…

A:

Q: p(4)(x) = (x² + 9)² f(6)(x) =

A: Given: f""(x)=(x^2+9)^2

Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx

A: Given: y=2x3 +5x Point (-2,26) ,(4,148)

Q: What rule should be used in getting the derivative of a.)  f(x) = x^5 b.) h(x) = 3(x + 4)^3 c.)…

A: a. fx=x5 The rule used to get the derivative of given function is, ddxxn=nxn-1 The derivative is,…

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: Find the interval in which the function is negative. f(x) = x2 - 3x - 4 I. (- ,-1) II. (-1, 4) III.…

A: Given:   f(x) = x2 -3x - 4

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: ∫ 2x4x2-102dxTake the constant out:  ∫a·fxdx=a·∫fxdx=2·∫ x4x2-102dx=2·∫ 16x5-80x3+100xdxApply the…

Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

A:

Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: Determine the interval on which the function f( x) = 44x – 4-x+12 is concave down.

A:

Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

Q: Determine the concavity of f (x) = x* 6x2 12 x + 2. O a. concave downward (-o, 3) and concave upward…

A: Given,           The function is fx=x3-6x2-12x+2.To find: The concavity of the function.We know…

Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

A:

Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: find the critical points and apply the Second Derivative Test (or state that it fails).…

A:

Q: Describe the x-values at which f is differentiable x² - 5, f(x) 15-x, 2' 5 – x, x > 0

A: When x≤0 fx=x2-5 Left-Hand Limit  = limx→0x2-5=-5

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Locate and classify all the critical points of the function.(If an answer does not ex g(x, y) = 4x2…

A:

Q: Find the slope of the line tangent to the curve f(x)=3x-2 when x-2.

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1, Differentiate the function. (1) f(x)= (2x² – 3x+6) (2) f(x)= 5x² –x- -x+1 (3) f(x)= (2+3x*i — пх…

A:

Q: f (x) = X+10 x²+3

A: The given function,       fx=x+10x2+3

Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

A:

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…

Q: Find the domain of the function. 4) f(x) = x2 + 3 A) (-«, -3) u (-3, ∞) C) (-3, «) 4) B) (-*, «) D)…

A: We will find out the required domain.

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

A:

Q: Find the derivative of the function (2а — 5) (5ӕ — 4) - f(æ) : 9x2 – 2 f'(x) =

A: The objective of the question is determine the derivative of the given function.

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

A: Let , the given functionThe given functionfx=x2-6 , x≤06-x2 , x &gt;0We have to find the x-values…

Q: with positive exponents only

A:

Q: What rule should be used in getting the derivative of a.)y = x^8 + 2x^6 - x^3 - 4x  b.)…

A: a) y=x8+2x6-x3-4xb) y=2x5+x-3x3c) f(x)=1-2x2

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

A: