The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin x 99 1 c. 100 COS X ein x d.-100

Q: 5. Determine which inverse trigonometric function g has the derivative g'(x) = x* +1

A: We find the integration of g'(x) For that use substitution x=tanz

Q: Find the derivative of (b) f(x) = 2 tan-1(x) – 7x

A: Givenf(x)= 2 tan-1(x)-7x

Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,…

A:

Q: Find the derivative of f (z) = 3ª In (z). Enclose arguments of functions, numerators, and…

A: f(x) = 3x ln(x) we know that-->

Q: 5) Find the derivative of cach function. a) f(x) = 7x° tan" x b) g(x) = scc "(VF)

A: In this question we have to find derivative of functions given. According to Bartleby's guidelines…

Q: find two possible functions ff given the second- or third-order derivatives f'''(x)=cosx

A:

Q: 1.) Using the DEFINITION (using Ax or h) of derivatives, compute for the derivative of the function…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If F is a derivative function, obtain the derivative of the function u(x) = (F(x))² in terms of F…

A: given u(x)=4x2-12u(x)=F(x)2to find derivative of u(x)

Q: 1.)  r= (3cot42θ-4)2/3

A:

Q: The derivative of the function f(x)=2xcos(x)-2 sin(x)is a. f(x)=-2 sin(x) b. f(x)=2x sin(x) c.…

A: ddx [ 2 x cos ( x ) − 2 sin ( x ) ]=?

Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,…

A:

Q: Find the derivative of f (x) = -7 tan (z). %3D Enclose arguments of functions in parentheses. For…

A:

Q: Find the derivative of the following. 2. g(x) = sin x tan x 1+sin x 3. h(x) = 1-sin x x+4 4. i(x) =…

A: 2.g(x)=sinx tanx3.h(x)=1+sinx1-sinx4.i(x)=x+4cosx5.j(x)=[(x2+cosx)(2x-sinx)]

Q: Which of the following is the derivative of the function p(x) = 2ª tan(x)? Op' (x) = 2" sec (æ) Op'…

A:

Q: 3. Sketch the derivative (i.e., f'(x) vs. x) of following function: 25 20 S 15 10 -2 -1 1 2 (x)f = A

A:

Q: What is the second derivative of f (x) =csch¬'(tan(x))? A f"(x)=- sec2(x) B) None of the given…

A:

Q: Which of the following is not equal to the derivative of y = (cos(x) – sin(æ))?? A 2 (2 sin? (x) –…

A: The given function is y=cosx-sinx2

Q: d the derivative of the function. (Simplify your answer completely.) f(x) = tan(x) + 2x %3D

A:

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: As we know that the derivative of uv form is given by ddxuv=u'v-uv'v2 see below the answer and…

Q: Use the h --> 0 definition of the derivative for each function f and value x=c for  f(x)= sin x,  x…

A:

Q: Consider the function f(x) 3 cos(2r). (a) Find the derivative of f(r). (b) the interval .). Verify…

A: Given function is fx=3cos2x (a) Differentiating the given function with respect to x,…

Q: Q5: * Q5: The Derivative of sinh (tan x) ? O tan(x) O sin(x) O cos(x) /sec(x)/

A: Secx is the right answer.

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa +…

A: This question is based on chain rule differentiation.

Q: Consider the functions f(x) = 2 sin(3.x), g(x) = cos(x²), and h(x) = tan(x³). (a) Find the…

A:

Q: h. Use the second derivative to identify intervals where f(x) is concave up. (-0,3) X i. Use the…

A:

Q: Q5: The Derivative of sinh (tan x) ? O tan(x) O sin(x) O cos(x) O Isec(x)/

A:

Q: The derivative of a function f is given by f'(x) = esinz for 0 < x < 9. On what intervals is f…

A:

Q: find the 36th derivative of the function f(x)=cos(x) the asnwer is function___.

A: While finding the derivative of Cosx multiple terms we observe a pattern and therefore can predict…

Q: A student incorrectly evaluated the derivative of f(x) = as f'(x) = %3D Væ + sin(x) -1/2 + cos(x)…

A:

Q: Find the second derivative of the function. f(x) = sec x f"(x)= sec x sec x(sec² + tan² 2 tan²x)…

A:

Q: The derivative of a function f is given by f'(x) for 0 < x < 9. On what intervals is f decreasing?…

A: Ans: The derivative of the function f is given by f'x=esinx-cos x-1 for 0&lt;x&lt;9 we have to find…

Q: What is the derivative of xe*cot(x) A -xe"csc2(x) + xe*cot(x)+e*cot(x) xe*csc2(x) +xe*cot(x) +…

A: Solution is here

Q: Q7/ find the derivative () answer five only 4- f(x) = (sinx + cosx) secx 5- f(x) = Vx2+R 6- f(x) =…

A:

Q: Find the derivative 4 f(x)=/9sin? C~)+ 4 cos?(x) %3D

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Use limits to compute the derivative. f'(0), where f(x) = x ° + 3x +2 %3D f'(0) = (Simplify your…

A: The limit definition of a derivative, is given by f'(x)=limh→0f(x+h)-f(x)h

Q: f(x)=1-x. Use the definition of the derivative to find f", f" and f""

A: Derivative by using definition

Q: 80. The function f has first derivative given by f'(x) = x* – 6x² – 8x – 3. On what intervals is the…

A: Derivative of the function f(x) is f'(x)=x4-6x2-8x-3

Q: 5. Find the derivative of h(x)= cos(sin(cosx)). %3D 6. Find the derivative of h(x) = (e"cosx)². %3D

A:

Q: In calculus the first derivative of a function f (x) describes a rate of change for the function and…

A: In this problem, we have to use one of the trigonometric identities.

Q: 2. Let f(x) = cos(x). We will take derivatives of this function over and over. (a) Evaluate the…

A: Using standard formula of derivatives.

Q: The derivative of the function ( 0o1(- 100 is equal to esin z Select one: -100)" 99 a. -100 esin z…

A:

Q: 1. Find the derivative of f(r) = 2 cos r- 4 csc r+ 8 cot r.

A: Given:- f(x)= 2 cos(x) - 4csc(x) + 8 cot(x) To find:- Derivative of given f(x)

Q: Find the anti-derivative for each function when C equals zero

A: We have to find antiderivative of the given functions. Here C = 0 Antiderivative means Integration.…

Q: Find the derivative of the given function. g(x) = sec¹(2πx) a) g'(x) = 87 sec³ (2πx) tan(2x) Ob)…

A: I am attaching image so that you understand each and every step.

Q: Find the indicated derivative. Find y(4) if y = -6 cos x. O y4) = -6 sin x O y(4) = 6 cos x O y4) =…

A: Given:  y = - 6 cos x

Q: 1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx =…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Use - -1-1(x Let f(x) = 9x +7 In (x+1), x>-1. Find - dx (Simplify your answer.) x=0 to find the…

A: By using ddxf-1x=1f'f-1x to find the derivative of the inverse at the indicated point. Let fx=9x+7…

Q: Suppose a and b are real numbers. Consider the function: a) deduct numbers a and b that make f '…

A: Solved below

Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…