If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: The following problem is for extra practice and does not have to be submitted. 2 1 -dx using the…

A: According to question ∫0211+x3dx,       n=4

Q: -х ху dy dx is approximately equal to 0 ex The value of

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find the derivative: eY sin(x) = sec(xy) – 5 dy dx

A: Some formulae that you will use: Product rule of differentiation:           other formulae:

Q: what is dy/dx?

A:

Q: Differentiate the function. y=(4x-4)° (3-x)? dy dx

A: Given query is to find the derivative of the expression.

Q: dy Find the derivative of the function x4 In 3y = y sin 3x + eta.

A: We have to solve the problem

Q: what is the derrivative of y^3 + y^2cos(x) = x^3 -3x and what points in the function for dy/dx does…

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Q: Differentiate the function. 71 y=(9-x) 0 dy | dx

A: We can solve this as follows:

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: 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: find the values of the derivatives dy/dx at x=sqrt(3) if y = 1-1/x

A:

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate (x' + 1)dx.

A:

Q: Some elementary functions, such as f(x) = sin(x2 ), do not have antiderivatives that are elementary…

A: let ∫x-necxdx for n a positive integer and c a non zero constant is non elementary since…

Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

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

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

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

A:

Q: Find the indic ed derivative. dz x2 for z = x2 dx 1 - x - 2x2 dz dx

A: Formulas:

Q: If f(x) = – x Find: S",(f(x))² dx That is find S"(: ,(1 - x)?

A:

Q: Find dy/dx by implicit differentiation. x3 − xy + y2 = 7

A: Given : x3 − xy + y2 = 7

Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

A:

Q: Find the interval in which function f(x)=sin (log,x)+cos(log,x) is decreasing

A:

Q: Find the relative extrema (if any) of the function f(x) = sin 2x ; over the interval (0, π).

A:

Q: What is the I.F of dy/dx = y - xy^3e^(-2x)?

A:

Q: Find the indicated derivative. dy for y = 1- 2x2 x4 - 2x2 dx + 3 dy dx

A: Quotient rule: ddxuv=vddx(u)-uddx(v)v2

Q: What is the value of dy/dx at x = 1 of the function * = (20" – a*) () x+1 y = - 2-1

A: We know that: The Power rule: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: What is the process for finding dy/dx when y is an implicit function of x? Illustrate with an…

A:

Q: Q /Choose the appropriate derivative for this function y = (x+ 1)2* dy = 2* (x + 1)2" - In(x + 1) dx…

A: Explanation of the answer is as follows

Q: Find dy by dx when  f(x) =2x²-x+5÷3x+2

A: The derivative of a function gives the rate of change of a function when an infinitesimal change is…

Q: The function f has a continuous derivative. If f (0) = 1, f (2) = 5, and f (x) dz 7, what is %3D %3D…

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Q: Find the derivative of F(x) = n sin(t) dt. 3x2 d dx cos(x)

A:

Q: 2. Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A:

Q: Use Dnf (x) to approximate the derivative of f(x) = sin(x) at ;h = (0.01,0.2) 4

A: Given fx=sinx at π4, h=0.01,0.2

Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

Q: find dy/dx by implicit differentiation. x8y+xy8=9

A: Given equation is x8y+xy8=9 We need to find dydx using implicit differentiation.

Q: Evaluate the second derivative at the given point. dy If dx = 3 ey + x2, find at (4,0) dx2

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Q: What is the derivative of y = x3/x3 with respect to x? [(dy)/(dx)] =

A:

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

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

A:

Q: Differentiate the function. 1 y3= (2x +3) dy dx

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Q: With n > 0, does x" dx get larger or smaller as n increases? Explain graphically.

A: Given: The given integral is ∫01xndx. Calculation: Use the integral formula, ∫xndx=xn+1n+1+C.…

Q: a) f sin(x) cos(x) dx,

A:

Q: For which  x value(s) is the function  f ( x ) = sin ^− 1 ⁡ ( 2 x )  defined and not differentiable?

A: Given that the function is       f(x) = sin-1(2x)  Here we have to find those values of x, in which…

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

A:

Q: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx

Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of df-1 at x = 1. dx

A: We have given function;

Q: cos z dz ar gral f

A: