Find the derivative of the function. f(x) = 2- 5x-, - 6 f'(x) =

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

Q: Find the derivative of the function  y = ln (8x3-x2)

A:

Q: Find the derivative of the function. y = e-4x5 y' =

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Q: Find the 4th-order derivative of the function y=xsinhx.

A:

Q: Find the derivative of the function. f(x) = ln 3x

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Q: Find the derivative of function. y = ln(x4 + 5x2)3/2

A: This question comes under the concept of Derivation. This question can be solved using the chain…

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

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

A:

Q: Find the second derivative of the function.         f(x) = csc x

A: Differentiating with respect to x, we get

Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

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

A: To find derivative of function.

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

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

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

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. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: Find the derivative of function. y = (3x + 7) ln(2x - 1)

A: To find the derivative of the function: y=3x+7 ln2x-1 Solution: Product rule of differentiation…

Q: Find the derivative of the function.

A:

Q: Find the 3" derivative of the function y=f(x) given by the equation y' = 2x.

A:

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

A:

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

A:

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: Find the derivative of the function. y = ex ln x

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

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

A:

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Find the derivative of the function g(x) = ln √2x

A:

Q: Find the derivative of the function. y = x2V 49 - x2 y' =

A: Soove for differentiate

Q: Find the derivative of y with respect to x    y=ln(x-7)

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Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

A:

Q: Find the derivative of the function: f(x)=ln  (x-3)^2÷(2x-1)^3

A: Given function is,

Q: Find the derivative of the function. y- 27-a

A:

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y

Q: Find the derivative of the function. (2x

A: In the given question, the fundamental theorem of calculus is applied. The fundamental theorem of…