Find the derivative of the function h(w), below. It may be to your advantage to simplify before differentiating. h(w) = 7w arcsin w h'(w) =

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1 3/t2

A: We differentiate with respect to t using chain rule.

Q: What is the derivative of `y=\ln\ x`?

A:

Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

A:

Q: Find the derivative of the function below using differentiation rules. y=ln(x)/x

A: Given. We are given a function such that f(x) = ln(x)/x We need to find derivative of the given…

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: find the derivative of y with respect to the givenindependent variable. y = xπ

A:

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: Find the derivative of the function. y = sin-(cos-(t))

A: Given: y=sin-1cos-1t To determine: The derivative of the given function.

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

A:

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

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: Find the derivative of the function f(x) = ln(sinh x)

A:

Q: Find the derivative of y with respect to the independent variable. y = 3 cOS TTO

A:

Q: What is the derivative of * y = arctan(x2 + 1)?

A:

Q: calculate the derivative with respect to x. ln x + ln y = x − y

A:

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: cosx y =-

A:

Q: Find the derivative of y = sin(-* e-X 2ex + 1

A:

Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

A:

Q: Find the derivative of y with respect te X /3 %3D

A: Finding dy/dx

Q: Calculate the derivative of the following functions. y = tan ex

A: Given:y=tanexDifferentiation formula:ddxtanx=sec2xddxeax=aeax

Q: The second derivative of the function is y = arctan 2x

A:

Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: find the derivative of the funciton y=xe^(5x)

A:

Q: find the derivative of y with respect to the appropriatevariable. y = (x2 + 1) sech (ln x)

A: Given: y=x2+1sechlnx

Q: Find the derivative of the function defined by the equation x+y=arctan(xy).

A: To find the derivative of the given function.

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function y = arctan x+ 1+x?

A: To find: The derivative of the function . Calculation: Find the derivative of the function.

Q: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

A:

Q: Find the derivative of the function. y = ex ln x

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the derivative of the secant function y=secx.

A: The give function is y=secx.

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: What is the derivative of y = arctan(x² +1)?

A: Find the derivative of the function

Q: Find the derivative of the function. simply if possible y = arccos(e2x)

A: We have to find the derivative of the function: y=cos-1e2x We know the formula of derivatives,…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= θ(sin (ln θ) + cos (ln θ))

A:

Q: Find the derivative of the function. y = sin (x + 2)

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

A:

Q: Find derivatives of f(x) = {x+- 1 and find the line tangent to it when x = 1

A:

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM х 1. y= Arctan- 3-V9-x²

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (sec (ln θ))

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (ln x)

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: Find the derivative of the function using the definition of derivative. g(t) = Vt %3D

A: Here, the given function is g(t)=5t. We need to find the derivative of the function g(t), using the…

Q: Find the derivative of the function f(x) = sinh 9x

A: