Find the Derivative of the given function. If f(x) = -3, then f'(z) = %3D

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Find the derivative of the function. y = (lnx)        (x7)

A: Quotient rule of differentiation:If a function f(x) is a quotient of u and v where both u and v are…

Q: Find the 4th-order derivative of the function y=xsinhx.

A:

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: y' +y = x*

A: Given: y3+y=x4

Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

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

A:

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 derivative of the function.

A: We are given with the function g(x) and need to find the derivatives

Q: find the derivative of the given function y - x2-1     f'(2)

A: Given function is y=x2-1. To find the derivative of the function f'2. Solution: Power rule of…

Q: Evaluate the derivative of the given function for the given value of x. Y = 2x-3 / 4x+5   x = 1…

A:

Q: Find the derivative of the function

A:

Q: Find the derivative of the function. y = (ln x)4

A:

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the derivative of the function.

A: Given: f(x)=log2x2x-1

Q: find the derivative of y=√e^x +1

A: The given function is

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

A:

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Find the derivative of the function. s(e) = VE-5E f '(x) =

A: The given function is: fx=x-5x3 The objective is to find the derivative of the function i.e., f'x.

Q: Find the derivative of the given functions: 1. y = 6+ 4vx csc(x)

A: If u and v are functions of x, then

Q: Find the derivative of the function. y = e-9/x

A:

Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of the function. y= log 4- x

A:

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

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 the function. f(x) = ln(x − 1)

A:

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

A:

Q: f(x) = e*

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

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

A: Formula:

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

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 y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

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

A:

Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

A:

Q: Find the derivative of the function. 9 y =- Vx + 1

A:

Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

A:

Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: Find the derivative of the function y = csch−1 (1 − x)

A:

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

A:

Q: Find the derivative of the function: f(x) = Vx + Vx + 1 1 +

A:

Q: Find the derivative of the function y = ln 5x/(1 − x)

A:

Q: Find the derivative of the function. h(x) = ex + 5

A: First we will differentiate exponential part then we eill differentiate algebraic part