3. Find the derivative of g(x)=

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 function g(x) = x3/e2x

A:

Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

A:

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

A:

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: y = In- e 2x+1

A:

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

A:

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

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

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: 4. Find the derivative of the following function 1 y = xtanx + -

A:

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

A:

Q: find the derivative of y=√e^x +1

A: The given function is

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

A:

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

A: Given,

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: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

A:

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

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

A: Given,

Q: Find the derivative of g(x) = e VIn x. %3D

A: gx=exlnx

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 1, Find the first and the second derivative of f(x): f(x)=x

A:

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

A:

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

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

A: Given ht=t4-15t3+16

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) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: Find the derivative of f(x)=(x−2)e^(−3x).

A: The first derivative of the function f(x) = (x−2)e−3x is calculated as follows.

Q: 2. Find derivative of given function defined as follows 2x y = e = ²

A:

Q: 7. Determine the derivative of the function with respect to x. ソミx

A:

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: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: 4. Find the derivative of the following function. y = x*

A:

Q: Find the derivative of the function. 2 1 3 h(x) x3 h'(x) =

A:

Q: Find the derivative of f (x) =arcoth (e³" ).

A:

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

A:

Q: Find the derivative of the function g(x) et 2 + 3x g'(x) =

A: Given: gx=ex2+3x

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: 4. The derivative of the function f(x) = r +3) is

A:

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A: