f(x) = x² sinh (3x) - %3D

Q: If f(x) = esin(#), find f'(x)?

A: Given that         f(x) = esin x  Here we have to find f'(x).

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: -g(x) = x²sinx cosx . Find g'(x).

A: We will use the product rule of differentiation to find the derivative.

Q: y=ln|sec3x + tan3x|

A:

Q: d/dx of F(x)=2X-21

A: ddx(2x-21)=?

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: y=5ln(4x)x-1/2 find the derivative (d/dx)

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below

Q: (seč lix) dx

A:

Q: y = x tan(x+C) eliminate the arbitrary constant

A:

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: dy/dx of y=(fifth root of (6x-7))(ln(3x-2))

A:

Q: 3- 2- y= g(x)- 1. R S 1 2 y = f(x) 5- 4+ 3+ 2 14 0 T 5) = (8(x))² HI 1 2 3 2. The function f is…

A:

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…