Find the derivative of f(x)=arctan(1/x) and simplify

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 the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

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

A: Here given Use the formula of product rule of derivatives as

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

A:

Q: find the derivative of the function.

A: To find the derivative of the function.  f(x)=sinx

Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Find the derivative of f(x) = (Cosx)*

A:

Q: Find the derivative of f(x)=e^(tanx)

A:

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

A: Given : y = sintan3x

Q: Find the derivative of each function at the specified value of x.

A: We have to find the derivative of the function at the given value of x: gx=ex sinπx, when x=0. We…

Q: Find the derivative of the function below. F(x) = arctan e a*) f'(x) =

A:

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 the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: Find the derivative of each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

Q: Find the derivative of f(x)=[sin(3x)]^3

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 of the function.

A: Given: g(x)=arcsin(3x)x

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

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

A:

Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Find the derivative of cos (x/y)

A:

Q: Find the derivative of the function below. f(x) = (49 + x)V arctan (ラ) f (x) =

A:

Q: 3x g(x)=e* In(4x+1) (с)

A:

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

A: Finding dy/dx

Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of the function y= arctan x +x/1+x2

A:

Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

A:

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

A: Given that: y=arccos4x

Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Find the derivative of the function.

A:

Q: Find the nth derivative of the function y=sinax.

A: We find the first 4 derivatives using the chain rule

Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: Find the derivative of the function. f(x) = ln(x − 1)

A:

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

A: The give function is y=secx.

Q: 5. f(x)%3D + cos X

A:

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

A:

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

A:

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

A:

Q: Find the derivative of the function f(x)=(x²+e* + sin x)*.

A:

Q: Find the derivative of the function. f(x) = ∣sin x∣

A: Given:fx=sinx

Q: Find the derivative of the function. y = x sin 1/x

A: Given: y=xsin1x We know that ddxu.v=vdudx+udvdx                                                  ..1