If f(x) = 21, find f'(0).

Q: find the derivative of the function  f(x) = e5x sec x

A:

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: Find the derivative of the function. f(x) = 4e* – x2 f'(x) =

A: Simply use the power law of derivative and also derivative of exponential .

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: Find the 3rd derivative of the function y=ex/x.

A:

Q: What is the derivative of the function f(x) = e-2x?

A:

Q: What is the first derivative of s(x) = 4e.

A: Given function - s(x) = 4ex-3Differentiating on both sides with respect to x - ddxs(x) =…

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 derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: What is the millionth derivative of f(x) = e x ?

A: ex

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: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: 2x2+x dx x+1

A: Integration ∫2x2+xx+1dx

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

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

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

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Find the derivative of the function

A:

Q: Find the first derivative of: x = t²e2t

A:

Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

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

A: h(x)=x2tan-1(x)

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: Find the indicated derivative. If f(x) = Vx + 4, find f"(x). f"'(x) =

A:

Q: Find the derivative of the function y = ln 4x / (x − 6)

A:

Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

A:

Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

A:

Q: Find the second derivative of the function f(x) = sin x2

A: Given f(x) = sin x2 To find d2f(x)dx2

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

A: Given function is

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

A:

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

A:

Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

A:

Q: Find the second derivative of the function y = x In 2x.

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: Find the thousandth derivative of f(x) = xe -x

A: Given function,  f(x) = xe-x  To find the thousandth derivative of f(x)

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

A:

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

A:

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

A:

Q: Find the second derivative of the function. f(x) = x x sin(x) %3D f "(x) - !!

A: Given:   fx=x sinx  To find: f"x=?

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

A:

Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: dx 2 x--1

A:

Q: Find the derivative of f(x) = ln v4 – x2 %3D

A:

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

A:

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

A:

Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5