If f is an odd function, why is S, f(x) dx = 0?

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

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Q: At what time does f (t) attain its largest value?

A: Consider f(t) is any function. We know that function attains its largest or smallest value when the…

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: Find the given derivative. 1 D 2x 3 DX 2x 5

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Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

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

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: y = (e*+4 +2)/(e2+3x +1)

A: y=e-3x+4+2e2+3x+1

Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: If f' is the derivative of f with | f'(x) dx = 10 and f(2) = 4, then f(1) :

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Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

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Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Evaluate the function: dx (x+1)–Vx+1

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Q: 1 What is S dx? x²+2x+5

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Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: Find the second derivative of the function y=x(x² – 1) (А) 4x(5х2 - 3) в) 2x(5x2 - 6) (с) (2х -…

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Q: The function f(x) = 1 + x decreases to 1 as x- 0. Does f(x) dx exist?

A: Given function is f(x)=1+x-1f(x)=1+1x Given integral is evaluated as follows.…

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Find the value of dy/dx at the point (-2, 1) for the function which is defined implicitly by x²y – -…

A: Differentiate wrt x

Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: 21 (e) If(x)| dx (f) f(x) dx 16

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Q: What is the decreasing and what is the constant

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

A: topic - derivative of a function

Q: (-4x-12) dx For J x+10)³ (x-4)³ F(x) – 1. What is F(3)? -

A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)

Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

A:

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 dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: Evaluate the function: S de x(x-2) -dx (x–1)³

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Q: f. y=In(x8+1)

A: We will solve the problem

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

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Q: Suppose f(-3) = 3, f'(-3) = 5, = -8, and %3D g(-3) = 1, gʻ (-3) = H(x) = f(x)e®(x). Find the…

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Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 3− x4 y2 =-2

A: We have to find derivative of curve (implicitly).Curve equation is given by:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Explanation: The given function is: f(x)=-3xx+1 Find the first derivative of this function.…

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

A:

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

A: Given: fx=ex+24 for finding second derivative of given function we first take log and find first…

Q: Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

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Q: The derivative of y x²+1 is х2—1 =

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Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

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Q: Find the derivative. F'(x) if F(x) = (e×" + 1) °

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

A: Topic = Derivative

Q: -11 If " f(x)dx = 1 ; S,f()dx = 22 find f" fx)dx. Eiles

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Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: T* dx from a=-1 to b-1 is an even function.

A:

Q: d all the higher order derivatives of f(x) = p³ + ga³ + x + 1. ,5

A: Differentiate wrt x

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x3+y4=3

A:

Q: The value of the second derivative of y = f(x) at its point of inflection is В. О D. 2 А. 1 С. -1

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Q: Find the 1st and 2nd derivatives of the following profit function: =(xa-110)1/a that is, and find…

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Q: Find the derivative of the given function e5x (2x+1)5 b. f(x) = In Vx²+1 f(x) = (x In x – x)

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: Find the value of the derivative. dy if y = 3 - 7x2 dx |x = - 3 dy (Simplify your answer.) %3D dx |x…

A: y=3-7x2dydx=0-14x       =-14x