What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

A:

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: What is the rate of change of y = ln x at x = 10?

A: To find the rate of change we have to find dy/dx

Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

A:

Q: Estimate the instantaneous rate of change at x=2

A: Please refer to the image below

Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: Discuss how the concept of instantaneous velocity v(t) can lead to the mathematical notion of a…

A: Topic:- application of derivatives

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…

A:

Q: Find the rate of change of y with respect to x at the indicated value of x. sin(x) :- 11 - cos(x)' y…

A:

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the equilibria of the differential eq

A:

Q: find implicit derivative of x^3 + x tan^-1 y = e^y

A:

Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: What is the line that corresponds to the phase shift of the function f(x)=tan (π/2 x−3π/2) +4?

A:

Q: sin x (cos x+1) dx 7. S (cosx +1)2

A: Given that: ∫sinx(cosx+1)(cosx+1)2dx           NOTE: As per our answering guidelines, we can only…

Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =

A: the fiven function is f(x)=ln(x)

Q: use differentials to approximate the change in y if x changes from 25 to 25.3

A:

Q: y = sec (2 – 3x)

A:

Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

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

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

Q: If the graph of f(x) has a parent graph of y = sinx and a phase shift of 6. maximum value to the…

A: Given: y=sinx

Q: What is the Derivative of the function; y = log10(1 − 4 tan x)

A:

Q: 2. y=cot1-2x 3. y=log22x*

A:

Q: Find the instantaneous rate of change of g(x) = In(x + 3) at x =

A:

Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

A:

Q: It can be shown that the Difference Quotient (D.Q.) of f (x) = sinx is h-[sinx(cos(h) – 1) +…

A: We are provided that the Differential Quotient (D. Q.) of f(x)=sinx is h-1sinxcosh-1+cosx sinh, if…

Q: g(x) = cos ¹x+ 1-x

A:

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: If f(x) = cos(2x), which of the equations below describes the average rate of change of f(x) over…

A:

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Find the instantaneous rate of change of y =- at x = a

A:

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: What happens to the curve on a graph for a function that has a negative phase shift and a negative…

A: A negative phase shift indicates a movement of the curve on a graph to the right.

Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function

A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)

Q: Find the first derivatives of y = cos x tanx

A: Given: y=4cos x+1tan x

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

A:

Q: The derivative of y=eSinh/x +cosh¬/x equals

A:

Q: 14. y = In cos 4x

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

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: Find the first derivative: y=sin( cos x)

A: The given equation is; y = sin( cos x )

Q: Let g(x)=7arctan(5x). What is the instantaneous rate of change of g(x) when x=2?

A: g(x)=7arctan(5x) to find rate differentiate g(x) with respect to x

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

Exponential Growth Model

The relation that represents an exponential function is: