F(x) = -7+ x2 INTERUAL-ピ-3 -2. AUERAGE RATE of

Q: Find the second derivative. y = 3x2 - V y" =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Use the second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

A:

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

A:

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: derivative of f(x)= 1/(x^2+5) is

A: Given,          fx=1x2+5

Q: Find the derivative of the function. y = 6x2(4x2 − 8)

A:

Q: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: what’s the derivative of y = 13x^3 + 2^x + 12

A:

Q: Use differentials to approximate the change in R revenue= 50x-1.5x2 as sales increase from 13 to 15…

A: Consider the given function: R=50x-1.5x2 Now differentiate the given function: dRdx=50-3xdR=50-3xdx

Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

Q: x5/2+4 x3 y = 3

A: We have to find the derivative of the given expression: y=x52+4x3x3 Simplifying the given…

Q: find the first and second derivatives

A: Given expression: w=3z7-7z3+21z2

Q: What is the rate of change of the function y = - 2x – 1?

A: The rate of change

Q: Find the derivative. 9 y = 4 .3 %3D

A:

Q: Find the absolute extrema of the function f(x) = (x +9) 2/3 on the interval [-5,1]. Find the second…

A: To find absolute extremum of given function:

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: second derivative of x^5 +16y^8 -2x^7

A:

Q: Using appropriate rule, find the derivative of y 9r+3 3z2+5z+9 Answer:

A:

Q: Find the average rate of change of g(x) = 3x² – 2 between the points (-4,46) and (3,25) -

A:

Q: Differentiate the function. y=(4x– 1)* (2 -x³) ² dx

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

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 curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: Find the third derivative. y = x5 − 10x3 + 13

A: we use derivative of xn= nxn-1

Q: Find the 3rd derivative of y = x-1)² 6 %3D

A:

Q: Find the average rate of change of f(x) = 3x2 - x from x1 = -1 to x2 = 2.

A: The given function is fx=3x2-x.

Q: Find the second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: Tak-gu baked 10 loaves of bread in 1 hour. After that, he baked a dozen of bread in 80 minutes and…

A: Tak-gu baked 10 loaves of bread in 1 hour. After that, he baked a dozen of bread in 80 minutes and…

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: What is the value of the derivative of f(x) = (x-2)(x² +1)³ est x=1?

A:

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: derivative of 2x^2

A: Given, To evaluate 'derivative of 2x^2

Q: find the average rate of change of f (x)= 5x3 - 6x2 - 10x+9 on the interval [-4,6]

A: We will use the average rate of change formula  f(b)-f(a)b-a. Here a=-4 and b=6

Q: Find the derivative of the function. y = 5x3 − 7x2 + 9

A:

Q: -y = a(10z² –8z+7)

A: Using composite derivative formula.

Q: Find the derivative 3 y = 2 + Væ4

A: To find the derivative of the given function y=3x+x43 we use power rule of derivative. Power rule of…

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: Find the average rate of change of g(æ) = 2x² + on the interval [-2,3]

A: Given

Q: the point (-2, 0). Find the minimum rate of change of f(x, y) = x²e-2y at

A: Given: A function f(x, y)=x2e-2y and a point (-2, 0). To find: The minimum rate of change of a given…

Q: Find the rate of the change of the function f(x)=-cscx-sinx

A:

Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

A:

Q: Find the first derivative y = (3x-2)/ (2x-1)1/2        Use the quotient rule

A:

Q: 13: 3. y = V(4x + 3)3

A:

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

A:

Q: derivative of 2x^5+5x^3+6=

A: We have to find the derivative of the given function.

Q: fa) =x3-6x*+15x-2, Please find for the tangent line to f "x) (8,1)

A:

Q: Find the average rate of change of g(x) = 5x2 + (5)/(x4) on the interval [-4,3].

A: Given, g(x)=5x2+5x4 And given interval is -4, 3

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

A:

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x