b) y = cosh(2Vx+1)

Q: Calculate the derivative. y = tanh(t2 + 1)

A:

Q: Find the derivative of f (y) = 6 sin

A: To find: The derivative of fy=6·sin7y5. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: What is the derivative of y=arc sec V3a ? SzV3r 1 2r/3r 1 2r/Sr

A: Recall: ddxsec-1(x) =1xx2-1

Q: Use the chain rule to find the derivative of the function z = x2y3 − x along the curve given by x =…

A:

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

A: Consider the given equation:

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

A:

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

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

Q: 17 Find derivative : f(t)= SVE et +t. f'(t) = ? %3D

A:

Q: Find the derivative of y with respect to Z. y=72?)

A: Given,         y=7z2

Q: calculate the derivative. y = tanh(t2 + 1)

A: Given: calculate the derivative.  y = tanh(t2 + 1)

Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

A:

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative

Q: How did he get the derivative? Ux =d (uxN, 2)) dx then

A: I have stated the used formula in the solution

Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Calculate the derivative of y with respect to x, if x/2 +y 3/2 = 7. dy dx

A:

Q: d. y = ار نے

A:

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: Find the derivative with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

A:

Q: Find the derivative of the function. y = cos( V sin(tan(7x))) y' =

A: Topic :- Calculus

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: B) Using the definition of derivative, find dy -if y = dx 1-x

A:

Q: Find the derivative of the function. y = sin(tan 3x) y' = II

A:

Q: compute the derivative. y = z csc(9z + 1)

A: y=z csc9z+1

Q: Q1. By using the “definition of the derivative" find of y = v2x? %3D dx

A: Explanation and solutions is given below....

Q: compute the derivative

A:

Q: Find the derivative of the function r? In 4y y sin4

A:

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: What is the derivative of y esin I + cos 2x

A: Given y=esinx+cos(2x) Now we have to find derivative as shown below

Q: 2. Find the derivative. a. y = sin x

A:

Q: Find the derivative. 15) y = J™ V4x + 7 dt

A:

Q: y = x+1 y = sin v1+x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Using appropriate rules, find the derivative of y-r'e + sin(3z+ 5z) 2 3z

A: on solving this we get the

Q: Find the second derivative y “ of " of y = 5z +sin zcosz

A:

Q: Find the derivative of : y=x sin(x) %3D ?

A:

Q: Find the derivative of the function y= sin(x cosx)

A:

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

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

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

Q: Find the derivative. y(0) = sech-1(sin(@)), 0 < e < I 2

A: y(θ)=sech-1(sinθ)  ,  0&lt;θ&lt;π2

Q: Find the derivative of the function x3 y = / 9vi sin(?) dt. %3D

A:

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

A:

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

A:

Q: 12. y= tanh(t2 +1)

A:

Q: Find the derivative of y with respect to t. y = 5sin (4t)

A:

Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: The derivative of y = cos²x is %3D

A: Given -                  y= cos2 x . We have to find the derivative of y.

Q: Find the derivative of the function. y = sin(tan(8x)) y' = %| II

A:

Q: Obtain the derivative of the function y cos (9y ) + tan (4x) csc (2x) y =

A:

Q: Find the derivative of y = [A 0 tan Od0. sin x

A: Then substitute it in dy/dx and use chain rule Write the integral as two parts:

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

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