Consider the integral equation and answer the following problems. Also, G(t) is a differ- entiable function. I = [² G(z)e²-²dz +2G(t) = 2 (a) Find the value of G(0). (b) Find the value of G'(0). (c) Find G(t).

Q: Find the derivative of the following functions: (a) f(x) = 6x² — 83 - 12/20 2-4√x (b) y = 6 cos(3x)…

A:

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: Find the third derivative of the given function. g(t) = √11t + 10 g"(t) = 0 3993 8 (11t+10)

A:

Q: Find the first derivative (1) H(X) = (6x + 1) 1/² (3x-2) 4 @) f(x) = (6e³x-2)(4₂5x+1) (24 € 2x + 3)

A:

Q: Find the value of the derivative of the function f(x) + 3 cas(g(x) at x-1 if f(1)-0, f(1)=1,…

A: According to the chain rule, the derivative of any function y=p(q(x)) is given by:…

Q: R(x) = [x*(x2 + 6x)]º R'(x) =

A:

Q: Find the first and second derivative of the function. G(r)=√r+√√r G'(r) G"(r) 1 2√F $ 4 25r X X

A: Given Function Formula used

Q: A contagious and fatal virus has tragically struck the city of Plaguesville, which has been…

A: The given function Pt=108t3-3t4 gives the number of people newly injected t days after the outbreak…

Q: B. Find the first and second derivatives of the following: 1. m(x) = 2(x)(√x) 2. a(x) = √3x 3. [u(x)…

A:

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: If C is a constant, and f(x) = | ƒ(x) = ln(Cx³), find and simplify the third derivative: ƒ'''(x) =

A: