y = (x – cot¬1 (x)) (1+ csc¬1 (x))

Q: x²-x+1 Find the derivative of the function f(x)=- o (2x)-(x²-x+1)xr-1/2 3/2+. 1/2-x-3/2 O…

A:

Q: Finding and Evaluating a Derivative InExercises 17–24, find f x and f c. 19. f (x) =x2 − 4x −…

A: Given :                   f(x) = x2-4x-3 Use quotient rule,                  f'(x) = (x-3)(2x)…

Q: First Derivative Error f'(x) =: 2h -f(x)+8f(x,)-8f(x,-) + f(x,-2) 12h f'(x) = Second Derivative…

A:

Q: [CLO-2] Find the derivative of f (x) = x −x5 e 2x + 3 1-5x4 x-x5 x-5x5 2/x −x5 1-5x4 Vx-x5 −5x4…

A:

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

A:

Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: X- 1 Find the anti-derivative of /1-x² 1- x2 – Arcsin x + C V1- x² - Arcsin x + C 2 2/1- x2 - Arcsin…

A: Here we have to find the antiderivative of x-11-x2 ⇒I=∫x-11-x2dx

Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = 4 if x#1 is both…

A: Differential function is always contious bt Converse is not true

Q: Siven f(x) = x2 + 1, x2 0, Find the derivative of the inverse at the point (5, 2) (do not find f-)

A:

Q: Finding and Evaluating a Derivative InExercises 17–24, find f x and f c. 23. f (x) = ex sin x,…

A: To findderivative of f(x)=exsinxddx(uv)=udvdx+vdudx.

Q: Derivative of y = (x(1-x^2)^3)/((1+x^2)^1/2)

A:

Q: Find the derivative of the function. State the domain of the derivative. f(x) = [In(x)]6 f '(x) =…

A:

Q: f(x) = (- 3x_1 3

A:

Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

A:

Q: Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot…

A: "Kindly ask other parts in different question as per Bartleby rules." 1., 2. and 3. are solved here.…

Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: differentiation y = (x^2 - x + 2)/sqrt(x)

A: Given,

Q: 3. (x2 – 2) + y = x – 6y² + 2y 4. (x + y)° – V2y : 3 = 8x? + 7y

A:

Q: Using trignometric finction/s:-   Find the derivative of the function g(x) = sin2 x + cos2 +x in two…

A: To find the derivative of the function: g(x)=sin2x+cos2x+x Solution: g(x)=sin2x+cos2x+x ⇒g(x)=1+x…

Q: calculus:

A: we have to find the derivative of the given function f(x). f(x)=7log5(x5-9x)

Q: - y = x In(x) Y =

A: topic - logarithmic differentiation

Q: Using chain rule evaluate the first derivative of y=x²(x+1)³.

A: We have to find first derivative of the function using chain rule: y=x2x+13 We know the formula of…

Q: 4. y = 7(x² +2)

A: ddx7x2+23Take the constant out:  a·f'=a·f '=7ddxx2+23Apply chain rule:=3x2+22ddxx2+2=7· 3x2+22·…

Q: DERIVATIVES Find the indicative derivative of the following: 1. y = V4x5 + 2x* – 5; y

A: The given function is y=4x5+2x4-5. The derivative of a function is found by differentiating the…

Q: *Introduction to Derivatives (x²+2x-3 if x#1 (4 Using the 3 conditions, show that f(x) = is both…

A: Three conditions of continuity of a function f(x) at x=a: (i) f(a) is defined. (ii) limx→a f(x)…

Q: f(x) = 2x-3/4

A:

Q: ative of the function using the definition of derivative. 1 x) = 6 + Vx %3D ain of the function.…

A: Please refer to the image below

Q: f (x) = 8 sec(x) csc(x)

A: Here we will find the derivative,

Q: Finding the derivative of f(x) = 2x2+3x-1, using definition of derivative %3D A- В BIB:

A: Our objective is to find the derivative of f(x) using definition.

Q: Calculus Use the formula for the derivative of the inverse to find (ƒ ')'(1), where f(x) = 4…

A:

Q: Using the definition, calculate the derivatives of the functions inExercise. Then find the values of…

A: Given: f(x)=2-x2 To find f'(-7), f'(0) and f'(5)

Q: First and second derivatives Find ƒ′(x) and ƒ″(x).

A: Given, To find f'(x)=? f''(x)=?

Q: sin x 7. Determine the end behavior of f(x) = %3D

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

Q: f f(x) = x²√Inx² x . find the derivative of this function f'(x) 1-In x² x²√√In x² A. f'(x) = B.…

A:

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x).

A: To find the higher order derivatives.

Q: In(x) f(x) =x

A:

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

A:

Q: The definition of the derivative function is f′(x)=f(x+h)−f(x)h.f′(x)=h→0lim​hf(x+h)−f(x)​. Use…

A:

Q: "Зх — 1 (c) f(x) = x2 + 3

A:

Q: differentiation- Can you have an y variable in your answer,

A:

Q: 3. y = cot(x + 2) cosh(x + 2)

A: Given: y=cot(x+2) cosh(x+2)                                  Here, cosh(x+2) is hyperbolic function…

Q: First and second derivatives Find ƒ′(x) and ƒ″(x).

A: Given, fx=x2-7xx+1

Q: A function x = x(y) is defined implicitly by the equation cos (x y) = -yš +4 x y+4x Find using…

A: Given:           cosxy=-y3+4xy+4x  differentiating on both sides with respect to y.…

Q: -9) √(x+2)]2

A: The function given is , fx=x2-9x+22. To find the derivative of the function, Apply the product rule,…

Q: Logarithmic differentiation Use logarithmic differentiation to evaluate f'1x2. cos³ x x° f1x2 Vx - 1

A:

Q: Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (\x| – 0)/(x – 0) = |x|/x.…

A:

Q: Computing a derivative Consider once again the function f(x) = -16x 2 + 96x

A: Computing a derivative Consider once again the function f(x) = -16x 2 + 96x

Q: Function:  f(x) = x/(x2-1)   Use the second derivative to discuss concavity. The second derivative…

A: Given, f(x)=xx2-1we have to use the second derivaive test to discuss concavity.the second derivative…

Q: Derivative of f(x) and derivative of g(x) are equal. Then f(x) = g(x). %3D Select one: O True False

A: Answer is given with example.

Q: Derivative of g(x)=[(ex+1)/(x+1)]2

A: Given g(x)=ex+1x+12                 =e2(x+1)x+12 We find the derivative by the following method…