Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

Q: Find the derivative of the function. x-5 y = In x +5 %D

A: Differentiate wrt x

Q: f(x) = (x + 2)2/3 -

A: First we have to find f'(x) . And to find extrema by first derivative test we have to find all roots…

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

A: We can make it easier for you.

Q: What is the derivative of F(x) = -4e2x ?

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Q: Find the derivative of the function. F(x) = (3x6 + 4x3y4 F'(x)

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

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

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Q: Find the derivative of the function. f(x) = In(4x + 5)

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Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

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

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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 function. f(x) = (2x – 8)*(x2 + x + 1)5 f'(x) =

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Q: Find the derivative of h(x) = x 2(9x + 2).

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Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

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Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: Find the given higher-order derivative.       f′(x) = x3 − x2/5,  f (3) (x)

A: we have been given: f'(x)=x3-x25 we have to find f(3)(x). that is we have to find the third order…

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

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

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Q: Find the derivative of the function. F(x) = (3x5 + 4x3)4 F'(x) =

A: Given, F(x)=3x6+4x34 To find F'(x).

Q: Can you help me step by step with this problem?

A: Let's assume u = 3 + xsecxPlease note that the second term is made up of two functions of x and they…

Q: Find the derivative of the function f(x) = x(4−3x)

A: Given: fx=x4-3x we know that ddxu.v=vdudx+udvdx

Q: Find the derivative of f(x) =(1+5x^2)(x-x^2):

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Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: Find the derivative of the function f(x) = 5x-3 + x² + 14. f'(x) =

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Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

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

Q: Find the derivative of the function. f(x) = (3x2 + 7)(x2 − 1/x)

A: Given,

Q: Find the second derivative of the function. In(x) f(x) 6x2 f"(x) =

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Q: Find the derivative of the function. f(x) = 5x2 + 4x + 5 O 5x + 4 O 10x2 + 4x O 10x O 10x + 4

A: Given f(x)= 5x^2+4x+5

Q: Find the first and second derivatives of the function. f(x) = 10x10 + 7x7 - x f'(x) = f"(x) =

A: We can solve the problem by doing the derivative of the function.

Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Find the derivative of f (x) = (x – 4) / 10x3 + 1.

A: Given,

Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

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Q: Find the derivative of the function below: 4 f(x) + 1600 In(3 x7 x8 f'(x)

A: Given : fx = -4x7-5x8-6x9 + 1600ln3

Q: Find the derivative of the function. g(x) = 2(3 – 7x) g'(x)=

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Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

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Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

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Q: Find the derivative of the function. f(x) = (2x – 8)“(x² + x + 1)5 f'(x) =

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Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

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Q: Find the first and second derivative of the function. f(x) = 4x – 5x/10 f '(x) %3D f "(x) =

A: Given : f(x) = 4x - 5x9/10

Q: Find the second derivative of f(x)=x(x^2+1)^3

A: Find the derivative of function:

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

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Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: The derivative of f(x) = x4 + 4e2x is-

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Q: Find the first and second derivatives of f(x). f(x) = – 3x³ – 7x + 2 f' (x) = f''(x) =

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Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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