Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

Q: Calculate the derivative. f(x) = 3ex - x3

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find the derivative of the functions f(x)=(2x2-1)(x3+3)

A: We can make it easier for you.

Q: Calculate the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: x)= xーン %3D

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = 2 + 4x – 8x2

A: We have to find

Q: Use the definition of the derivative to find the derivative of g(x) = x3 – 2x² + x – 1. %3D

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

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: Use the Chain Rule to find the derivative of the function. y = (x3 + 5x2)−1 y' =

A: The function is given by,

Q: Calculate the derivative. f (x) = x 2e2

A:

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

A:

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

A:

Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: find the derivative of f(x)=((x2+1)(sqrt 3x-2))/(x3+2)

A: The given function is, fx=x2+13x-2x3+2 Taking natural logarithm in both sides of above function,…

Q: Calculate the derivative. f (x) = (x + 3)(x − 1)(x − 5)

A: The given function is In the expanded form the above function can be written as

Q: Find the derivative of the function. +8x+3 10) y = %3D

A:

Q: Find derivative of y= x(3x-1)5

A: Use the product rule to differentiate the given function with respect to x…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: Here we have;  f(x)=x2+x-1x2-1 differentiate with respect to x

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

A:

Q: 6. %3D F(x) = 5x

A: f(x)=65x

Q: Use the definition of the derivative to find the derivative of f(x) = x^3-4x^2+x

A: the given function is: f(x)=x3-4x2+x

Q: Find the derivative of f(x) = + x3.

A: Given  fx=ex2+x3 To find the derivative chain rule is used F'x=f'gxg'x and the other property used…

Q: Find the derivative using the formal definition f (x) = 3x2- 4x – 2

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Q: f(x) = (x + 2)(2x² – 3) %3D

A:

Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

A:

Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

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

A:

Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

A:

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Find the derivative of y=x^3lnx

A:

Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: Find the derivative of the function y = arccsc 2x2

A:

Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

A:

Q: Use the first principles definition of the derivative to find f'(x) where f(x)=3x2 - x

A: This question can be solved by applying the concept of limit which is used to define the first…

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Help to find the derivative of f(x)=1/4x. ?

A: given f(x)=14xwe have to find the derivative of given f(x)

Q: find the derivative of  y = x^2 - 4/x^2

A:

Q: Use the Definition of Derivative to find the derivative of y = 6x^2 + 3x.

A:

Q: Find the derivative of f(x) = e³z (5x² + x) %3D

A: Differentiation

Q: Use the chain rule to find the derivative of f(x) = 3e10z° +9x* f'(x) %3D

A:

Q: Find the derivative of y= (x+2)x+2

A:

Q: Find the derivative of the function f(x) = 9x-³ + x² + 14. f'(x) = %3D

A:

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

A:

Q: Find the derivative of the function f(x) = x6x. %3D

A:

Q: with positive exponents only

A:

Q: Find the derivative of f (x)= 2- √(5x) using the definition of derivative.

A:

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

A:

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: