Find the derivative of the function. f(x) = In(x + V2 + x²) f '(x) =

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

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

A:

Q: The derivative of y = 2 ln ⁡ x − ln ⁡ x 3 is

A: The given function is, y=2lnx-lnx3

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: Find the derivative using the long method y = vx + 2

A:

Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: 1 Find the first derivative given that f(x) = xdx +

A:

Q: Find the derivative of f(x) = ln∣cos x∣.

A:

Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

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

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

Q: y = x*(1 – In x4)

A:

Q: S(x)= Jx-5

A: given that f(x)=1x-5 find the derivative from first principle f'x=limh→0 fx+h-fxh

Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: 8. Find the derivative of the function. y= In(1+x)

A:

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: Compute the derivative of the fo f(x)= 2x+3x ex

A:

Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Find the derivative of z=(ln5)e^x dz/dx=

A:

Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: 3/x +1 f(x) = X+2 at x = -1

A:

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

A: Given data:   The given expression of the given function is: .   Substitute u for csc x in the given…

Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

Q: Find the first derivative of the function of f(x) using any method?

A: Given,

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: Find the derivative of y with respect to x. 1, 1+x2 In 1- x3 y

A: If you have function f(x) in the numerator and the function g(x) in the denominator, then the…

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of flx) = x 1x \ - Does plo) exist

A:

Q: Find the derivative of the function. 10 f(x) = + 6cos x Vx

A: Differentiate above equation with respect to x

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

A:

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln3/x

A:

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: Find the derivative of the function.   y = In(x)/x9

A:

Q: Find the derivative of h(x) = sin2x

A:

Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

A:

Q: Find the derivative of the function g(x) = ln √2x

A:

Q: Find the derivative of g(x) = e-" cos(x²)

A:

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: Find the derivative of the function. g(x) = 2(3- Ex)

A:

Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: is the derivative of In

A:

Q: Find the second derivative of y=x-1 at x=2

A:

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

A: