write an example of a function, f(x), whose derivative is itself.

Q: Find the derivative of the function.

A:

Q: Find the derivative of the algebraic function H)x) = (x6 - 5)(x3 + 3).

A: Given that : H(x) = (x6 -5)(x3 +3). We find derivative of this algebraic function. We know that…

Q: Find the derivative of  f(x) = (x^2-5) (x+7)

A: We have to find the derivative of  f(x) = (x2 - 5) (x + 7) We know that if f(x) = uv ,  then  f'(x)…

Q: Find the derivative of the function.(x2 + 9)(x3 + 6)/ x2 + 3

A: Consider the function

Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

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Q: Calculate the derivative of the function.  f(x)=(9x-1)-2

A:

Q: Calculate the derivative. h(x) = π2(x - 1)

A: Our Aim is to find the derivative of the expression given below:- h(x) = π2(x - 1)⇒h(x)=π2x-π2 -(i)

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

A:

Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

Q: Using the definition of derivative, find the derivative of f(x) = x² + 3x + 3.

A: Solution:

Q: Find the derivative of the function. f(x)= 10Vx- 6e*

A:

Q: Find the derivative of the function. f(x) 1 = - x6 + (x² + 4)(x² – x – 1) + 10

A:

Q: If f is a differentiable function, find an expression for the derivative of: 2f(x)

A: given that y=2f(x)exdifferentiatee on both side we apply division rulee here

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Find the derivative of the function. h(x) = (4/x^2)+(6/x^3)

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Q: Find the derivative of the following functions.

A: The derivative of a function gives the rate of change of the function. It gives the slope of the…

Q: Use the Quotient Rule to find the derivative of the function. h(x) =  x2 x + 7 h'(x) =

A: Consider the provided function:

Q: Find the derivative of the function. y = -2e - 5x²

A:

Q: Determine the first and second derivative of the function fx) = 3xe"

A: 20). In this question given that f(x) and find first and second derivative . Here i provide full…

Q: By definition, find the derivative: f (x)= Vx

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Q: Write a derivative formula for the function. f(x) = 2xV9x + 6 + 95 %3! f'(x) =

A:

Q: Use a computer algebra system to find the derivative of the function.

A: g(x)=x+1x+22x-5

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 of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain…

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 2) f(x) =5x2 + 3

A: We have to find the derivative by using definition of derivative

Q: Use the definition of the derivative, to find the derivative of y (x) x +1 x + 4 (x + 4) 1 (x + 4) 3…

A:

Q: What is the derivative of f(x)= -3

A: Given f(x) = - 3

Q: Find the derivative of  f(x) = (x^2+5)(x-6)

A:

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: Find the derivative of the function. f (x) = (4x - x 2 ) 100

A: Given, f(x)=(4x-x2)100

Q: Find the derivative of the function. f (x) = (x 4  + 3 x2  - 2) 5

A: The given function is f (x) = (x 4  + 3 x2  - 2) 5

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

A:

Q: Write the definition of the derivative of f (x).

A: Two types of derivatives are defined 1) LHD -  Left Hand Derivative 2) RHD - Right Hand Derivative…

Q: Find the derivative of f(x) = 3√x- 26

A: Please refer to the image below

Q: Find the derivative of the function. F(x)=x^3-6/x^2+5

A: GivenFx=x3-6x2+5We have to find the derivative of the function .Rule apply :-Quotient rule…

Q: Find the derivative of the function f(x)= x5 - 9/x4

A:

Q: Find the derivative of the function. x3 - 1 f(x) : x² +

A: dvu=udv-vduu2

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: Using the definition of the derivative, find f' (x) if f (x) = 3x²

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the derivative of the function. g(x) = 4x2 + 7x3 g'(x) = %3D

A:

Q: Calculate the derivative. f(x) = (x³ + 2) (x³ + x + 9)

A:

Q: Find the derivative of the function. x2 + 8 f(x) = x - 8

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Q: Find the derivative. -90 f (x) = (x³ + x*) f'(x) =

A: The objective is to find the derivative of f(x) .

Q: find the derivative  f(x)=x2(x3-1)

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

Q: Find the second derivative of f(x)=x^3 + x-5

A:

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

A: It is given that,fx=xx+53. We have to find the derivative of the function.

Q: Find the derivative of the function f(x) = 5arcsin(x-4)

A:

Q: Find the derivative of the function. f(x) = 10/((x ^ 2 - 4) ^ 4)

A: