Find the 80th derivative of y = cos(2x).

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

A: According to the chain rule of differentiation:

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Find the derivative of the function y = sinh−1(4x)

A: To find the derivative we use the chain rule

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

A:

Q: Find the second derivative of + e® sin y + 3xy = 0 y? %3|

A:

Q: y' +y = x*

A: Given: y3+y=x4

Q: Find the first derivative of y = e3x. 3e3x

A:

Q: Find the derivative of the function y = 8 cos(2x)

A:

Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: Find the 90th derivative of y = cos 2x. %D

A: dy/dx of cos2x=-2sin2x.

Q: Find the derivative of: 9e 7sin ( 3x*) Use e^x for e". -

A: We use chain rule to find the derivative.

Q: Find the first derivative of y = (ln x)4

A: Given the  y = ( ln x)^4 We need to find the first derivative . Therefore differentiate to given…

Q: y = ln 1-x² 1+x²

A:

Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: find the second derivative of y=ln(e^x+e^-x)

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

Q: What is the derivative of y e2x –1

A:

Q: Find the fourth derivative of the given function. y = sinx

A: Given query is to find the fourth derivative.

Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which…

Q: Find the derivative of the function. y = ln√(x2 − 4)

A:

Q: ア=e y =,

A:

Q: d. y = ار نے

A:

Q: Find the 75th derivative of y=cos(2x)

A: Given function y=cos2x The 75th derivative has to be founded  first consider the smaller…

Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

Q: Find the derivative of the following functions:     1. y= 3 ln (x)?

A:

Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Find the derivative of the function. y = 5 cos(9x + 1)

A:

Q: find the derivative of ln(3x^2+e^x)

A:

Q: Find the derivative of y=ln(cos(z))

A:

Q: Find the derivatives of the functions defined as y = sin e4x

A: Given:y=sin e4x

Q: Ө+5 y = Өcos 0

A:

Q: Find the derivative of the function. y = e In(7x)

A:

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: find the derivatives of y=sin(ln|2x+1|)

A: y=sinln2x+1

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

A:

Q: y = (cos(x²))*

A: We can find the derivative of the given function by using the logarithmic differentiation. Also,…

Q: Calculate the derivative of the following functions. y = sin2(e3x + 1)

A: Given functions y = sin2(e3x + 1) ddxsin2e3x+1=sin2ddxe3x+1=sin2ddxe3x+ddx1=sin2e3xddx3x+0=sin2e3x·…

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

Q: f y = (sin x)x b

A:

Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Which is the first derivative of y=vx ?

A:

Q: Find the derivative of y=cos-1 (19x)

A: Consider the given function, y=cos-119x it can be written as, cosy=19x

Q: Find the derivative of the function. y = log |5- 2x dy dx

A:

Q: y = x'e**

A:

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: Find the first and second derivatives of the function  y = cos (x 2 )

A: We have to find first and second derivatives of the function: y=cos x2 We know formula of…

Q: Which is the first derivative of y=vx ? *

A: Given Data: y=x Formula: d(xn)dx=nxn-1