The derivative of f with respect to x of f(x) = In x° is

Q: Find derivative of the function f(z) = (sin¬' (2z – 1))² with respect to z.

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Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: The derivative with respect to X .2 y = x sin-'x + V1 – x²

A: Given:               y=x sin-1x+1-x2 Differentiate with respect to x           ddxy=ddxx sin-1x+1-x2…

Q: Evaluate the derivative of the function. - 1 f(x) = sin(5x) %3D f'(x) =|

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Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = ∣x…

A: Concept: Derivative is the amount by which function is changing at one point. Given:

Q: Find the derivative of the function. f(x) = 4 tan -1 (e 11x) f'(x) = D

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Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative

Q: find the derivative of y with respect to the appropriatevariable. = sin-1 (1 - t)

A: Given Trigonometric Expression: sin-11-t We can differentiate this trigonometric function with the…

Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: Find the derivative of each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

Q: What is the derivative of f(x) = - 3 with respect to r? %3D

A: Given: The function f(x)=-3x3

Q: The derivative of the function f(x) = elan(=) + Ve is

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Q: Find the general anti-derivative of f(x) = + Vx on a continuous interval.

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Q: Find the derivative of f(x) = x² cos r.

A: The given function fx=x2cosx Differentiate with respect to x using the product rule…

Q: Find the derivative of f(x)=e^c+c^x. Assume that c is a positive constant. f′(x)=

A: Consider the function  f(x)=ec+cx,       c>0

Q: Find the derivative with respect to x of 1 f(x) V3x + 9

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: The derivative of f(x) = cos-(2x) is:

A:

Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Find the derivative of the function. r(x) = In(x + 1) + 5x7ex r'(x) =

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

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Q: Find the derivative of the function. f(z) = V - VE f '(x) =

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Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = x3…

A: Given: fx=x3+2x2+1 , c=-2 To determine: Derivative of given function at x=c

Q: Compute the derivative function f'(x) algebraically. f(x) = 8x – 5 %3D f'(x) =

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

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A: The derivative of a function fx at x=c is determined using the following alternative form of the…

Q: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

Q: Find the derivative of f(h(x))?  What is the slope of the tan line at x=0.  f'(x)=(3x^2)+3 h(x)=2x+1

A: Given function

Q: Find the derivative of the function. F(x) = In(4 – x®) %3D f'(x) %D

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Q: B. By using the definition of the derivative, find the for: dx 1- f(x) = V %3D 2- f(x) = x -!

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Q: Find the derivative with respect to x if f(x) = e 2x %3D The derivative with respect to x if f(x) =…

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Q: Find the derivative of y with respect to x. x7 x7 X' Inx- 98 y = 14

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Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: Consider the function f(z) = V1+z -1 and find its derivative:

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Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: Find the second derivative of the function. f(x) = x x sin(x) %3D f "(x) - !!

A: Given:   fx=x sinx  To find: f"x=?

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = x2…

A: Solution:-  The given function is  g(x)=x2-xwe have to use alternative form of derivative to find…

Q: The derivative of x at X = 1 is to I Frue or false 2

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Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

A:

Q: Find the derivative off with respect to x of f(x) = In x⁹. The derivative off with respect to x of…

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Q: The derivative of f(z) = Log(2iz - 4+6i) at z = -3+i is

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Q: Find the indicated derivative. f (x) = x² In x + sec a; find f"(x).

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) =…

A: The alternate form refers here the definition of derivative.