Find f '(x) if f(x) = xsin Tx+(x-2) on [0, 1].

Q: What is the third derivative of 大 f(x): f(r) = 2 + cosx?

A: The given function is fx=x3+cos x. Evaluate the first derivative of the given function as follows.…

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: Find the linearization of ƒ(x) = √(x + 1) + sin x at x = 0. How is it related to the individual…

A:

Q: What are all absolute and relative extreme values of the function f(x)=– sin z on the interval (0,…

A: Given function f(x) - f(x) = -sinxDifferentiating on both sides with respect to x - f'(x) =…

Q: Kim throws a ball against a wall at time t = 0. At time t = 1, it hits the wall and then at time t =…

A: The objective here is to check whether Mean Value Theorem can be applied to show that at some point…

Q: Find the equation of the line tangent to the graph of f(x) = – = -3 cos (x) at x = 3 m(x – xo). You…

A: given: the function f(x)=-3cos(x) the point is x=-π3

Q: 5 + 4 dx

A:

Q: Use integration by parts to verify the reduction formula.

A:

Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

A:

Q: Consider the function f(r) whose second derivative is f(z)- 8z+10 sin(r). If/@)- 4 and f'0)-4, what…

A:

Q: Find all of the critical points of the function f(x, y) = x²y². Can the second derivatives test be…

A:

Q: If f(x) = sinh³ x %3D the en f'(x) = ||

A:

Q: The function f(x) is differentiable on (0, 1) and satisfies f(0) = f(1). However, its derivative is…

A: Consider the given function: Here the objective to check whether the given function contradicting…

Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. 1 f(x) =…

A:

Q: If f(x) = x cosh æ + 3 sinh x then f'(x) =

A:

Q: The 2nd derivative of the given functions is 3 ponts y = 3 cos (4x- 5) None of the above -48 cos…

A:

Q: a) Differentiate f(x) = sin x from first principtes. %3D

A:

Q: Calculate the derivative of f (x) = cos (7æ³ + 2) %3D showing all your work.

A: Topic-derrivative

Q: Find the derivative of f (z) = (2° – 5z) (2² + 6z – 6). a va la sin (a) f' (포) 3DD Please explain,…

A:

Q: If f(x) = x cosh x + 5 sinh x then f'(x) =

A: Find the derivative

Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

A:

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: 1. If f(x) = sinx, show that f(x + y)-f(x) = cos x siny - 2 sin x sin² 2 2Y-T

A: 1) Given f(x)=sin(x)

Q: Find the derivative of y with respect to x. y= 3x^3 sin^-1 x show all work

A:

Q: Determine whether f(x) is differentiable at x = 0. Show your work. sin(x) cos(x)-1 3x + 1 f(x): = if…

A:

Q: Find the fourth derivative of f (z) = 2" + In (x) – 160z. %3D Enclose arguments of functions in…

A:

Q: Find the derivatives of the functions in Exercis

A: fθ=sinθ1+cosθ2

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: 9) If f(x) = sinh() , then f'(x) = %3D (A) 3 cosh(÷)

A: Given: f(x)=sinh1x2To find:f'(x)

Q: Find the most general antiderivative of the function. f(x) = 5 cosx-7 sinx

A:

Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

A:

Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

A:

Q: Find the fourth derivative of f (z) = 2z¬3 Vā lal * sin (a) f(4) (z) =

A:

Q: Consider the function f(x)f(x) whose second derivative is f''(x)=4x+3sin(x)f′′(x)=4x+3sin(x). If…

A: Consider the function f(x) It's second derivative is f''(x)=4x+3sin(x)If f(0)=3 and f'(0)=4   We…

Q: please work out and show all the derivatives of the inverse trig functions    example for tan…

A: The sine (sin) of an acute angle in a right triangle is the ratio of the side opposite of the…

Q: Find the linear approximation for f(x)=sin2x at x=5π6 and use it to approximate sin2(147∘). Round…

A:

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

A:

Q: 16. r(0) = sec 0 tan 0 – 2eº -

A:

Q: Find the first derivative of  y = cos4 x – sin4 x y = x3   –  x2 cos x  +  2x sin x  + 2 cos x y…

A:

Q: Find the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual…

A: To determine the linearization of the function at x=0.

Q: c. Use the second derivative to show that f(x) has no point of inflection and is everywhere concave…

A: Given data: The given function is f(x)=x-4x1/2. C) The expression for the second derivative of the…

Q: ind the 9th derivative of f(z)=exp((-1 + isqrt 3)z) at z=0.

A: Given f(z)=e(-1+3)z Differentiating w.r.t 'z' f'(z)=e(-1+3)z(-1+i3) f''(z)=e(-1+3)z(-1+i3)2…

Q: Find f'(x)'f f (x)= arctan (Inx) %3D

A: Using composite function formula.

Q: find the most general ntiderivative f(x) = 4 sec2(x) + 3 sec x tan x

A:

Q: 1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0<x < 2п

A:

Q: – 3t² + 5t dt 7. Find the general anti-derivative:

A: The objective of the question is to find the antiderivative of the given function.

Q: Evaluate ax xm-1 sin bx dx in terms of Gamma function. -ax

A: We use the special results of Gamma function to solve this problem as in next step.

Q: alue of A can be calculated based on f(x)dx = 1.

A: The given probability distribution function is,