Consider the following function: S(x) = (x – 5)(x – 10)? Step 1 of 4: Determine f'(x) and f"(x).

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: Find the derivative of the function 1-x2 t2sin(t) dt g'(x) =

A: First I have written the Leibnitz rule for derivative of an integral and using them find the…

Q: 9)/6)= (2x+1)*

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

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Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: 2020 at 1T:36 PM Find the derivative of the following function using the rules of differentiation:…

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Q: Find the derivative of the function rsin(x) 1- t2 dt. 1+t4 g(x) /1

A: Explanation of the answer is as follows

Q: Find the critical points of the following function. f(x) = 5x? - 3x – 1 What is the derivative of…

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Q: Use the Power Rule to compute the derivative: d. X. dx x=-1

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Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Find the derivative of the function. y = log 4 V3x +2

A: The Answer is Option A

Q: When is f (t) increasing at the greatest rate?

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Q: Differentiate the Following Function   y = ln(x)/x^2

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Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

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Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: Find the derivative of the function. S(2) = VE - 8E f (x) =

A: topic - derivative of a function

Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: Determine the equation of the tangent line to the graph of y = f'(x) at the point where x = 1 if…

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Q: 2. g'(x) where g(x)=x² +7x-5 %3D

A: In this question we need to find a derivative of the given function.

Q: Let f(x) = derivative f'(x) equals o. e. Find the value of x for which the second

A: Given that: f(x)=32x2-ex

Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

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

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Q: Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the…

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Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

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Q: 2x f{X) = 1+ X

A: Given: f(x)=2x1+x

Q: Find the nth order derivative of the power function y=xm where m is a real number.

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: Q2: - Find the second derivative of the following function at x = 2 1) y=+ V

A: ddx1x = -1x2 ddxxn = nxn-1 ddxx =12x

Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: Find the derivative of g(x) = J2x u²+1

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Q: 4) /() =2-2 3. 5) y = x*+2x+1 6.) f(x) =

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Q: 3) Use the definition to find the derivative of f(t) = +1 t+1 %3D

A: f'(t) = -1/t2

Q: a) Find the derivative of the function: T+ V3x f (x): 3x-1

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the function whose derivative is Inx+1. A) xlnx B) x+xlnx x+1/x D) x+Inx

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: Compute the derivative of the function f(x) = S7+3x²' at the point 4, using the definition. Ex. 2.…

A: Derivative.

Q: Find the anti-derivative of g'(x)= log1/2(X)

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Q: Q1) Compute the derivative of the function f (t)= | sin² x²dx. -t

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Q: Find the function with derivative f'(x) = e7¤ that passes through the point P = (0, 6/7).

A: Given that f'(x) = e7x and we find function that passes through point (0,6/7). We know that f'(x) is…

Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

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

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