Find the points of inflection of the function f(x)=esinx.

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Find the derivative. 2 f(x) = 8√2x +9 f'(x) = [

A:

Q: F(X) = X + よ2 %3D

A: Given, fx=x+3x2

Q: Find the derivative of the function. f(x) = ((x2 + 3)5 + x)2

A: We use the power rule and chain rule.

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: 2х-9 F(x)% = %3D 4х

A: We have to find the definition of the derivative to find f(x). By the definition of the derivative,…

Q: Use the first derivative test to determine the local extrema, if any, for the function f(x) = 3(x -…

A: Given that a function f(x) and we find local extrema. For local extrema we do first derivative of…

Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: find the derivative  f(x)=x3(x2-1/x2+1)

A: Given:The function f(x) = x3 (x2 − 1)/ (x2 + 1)

Q: use the definition of the derivative to find f'(x). f(x)=1/x2

A: We need to evaluate the derivative of the following function f(x) = 1x2

Q: Find the derivative. f(x) = 8/ 4x + 7 f'(x) = |

A: Find derivative use Chan rule  And use d/dx(x½)=1/2(x)½

Q: Find the derivative of the algebraic function. f(x) = (x2 + 5x + 6)/(x2 − 4)

A:

Q: Use the definition of a derivative to determine all points for the function f(x) = ((x+|x|)^2)+1 is…

A:

Q: Use the product rule to calculate the derivative  f(x)=x^3(2x^2+1)

A:

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: Find the derivative. F'(x) if F(x) = (ex³ + 8)ª

A:

Q: Find f' (x) using the rules for finding derivatives 4x2 – 7x +1 f(x): 2x + 9 f'(x)=O

A: To find The derivative of f(x)

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

A:

Q: 2x f(x) = +1

A: Our Aim is to find the derivative of the function given below:-f(x)=2xx2+1 -(i)

Q: Calculate the derivative   f(x)=√(4+3x^2) / √(x^2+1)

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Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Apply the second derivative test to find all relative extrema. (b) f(x) = -x + 4x³ +8x²

A:

Q: Find the derivative. F'(x) if F(x)= (ex² -3) ² F'(x)=

A: ddxex7-32

Q: Use the formula  to find the derivative of the function

A: Givenf(x)=1x+2To find f'(x)

Q: Find the derivative of the function. f(x)= (x2+6/x)5

A:

Q: f (x)=vx+2, a=6 it

A: Given function is  fx=x+27

Q: Use the definition of the derivative to find f(x) if f(x)= x/(5x+2).

A:

Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 5x2 + 9x + 2 f'(x) = f"(x)

A:

Q: Find the relative extrema of the function and classify each as a maximum or minimum using the First…

A: Answer

Q: Find the derivative. f(x)x (2x+1)

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Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

Q: F(x) = X2

A: Consider the function: fx=x2 The derivative of f(x) with respect to x is the function f′(x) and is…

Q: Find the derivative of f(x) = x ^2at x = 3.

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Q: x = -t4 – 5t – 3 2.

A:

Q: Let f(x) = x-3 Use the definition of derivative to find f'(x). %3D 2C

A: Given : fx = xx-3

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the…

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because…

Q: Use the shortcut rules to find the derivative. f(x) = ;nx° 7

A: Consider the given function is, f(x)=47πx6 Since. 47and π are constant and the function is for x…

Q: find the derivative  f(x)=x2(x3-1)

A: Apply the product rule and obtain the derivative of the given function.

Q: Use the definition of a derivative to find f ′ (x). f (x) = 2 − 3x

A:

Q: Use the definition of derivative to find f (x) if f(x) = Vx+3.

A: fx=x+3

Q: the derivative of f(x) = x% (x% +x% + x%

A:

Q: State the domain of the function and the domain of the derivative. f(x)= 6/2x^2 f'(x)= Domain of…

A: We find f'(x) using the power rule

Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

A:

Q: Use the definition of a derivative to find f(x). 7 (x) (x) =

A: we have given f(x).  We have to find the derivative of f'(x) by definition of derivative

Q: Use the second derivative   f''(x)=x(x−1)(x−3)^2 to determine where the inflection points of f(x)…

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Q: a) Use the definition of the derivative to find f '(x), given f(x) = 4x² – 1.

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

Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

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: