6) If G(x) = In(t) dt then G'(x) = 2x*e=*. a) True b) False

Q: What is A’(x) for this picture?

A: We need to find A'(x).

Q: 6) Let h(x) = x7 + 2x +. Find h'(x).

A:

Q: 3) Let f(x)= 2x+3 . Calculate by definition f'(2).

A:

Q: +tlnt +tInt If x=sin and Jy= = cos prove that y"=c constant +eco te'

A: Given: x=sint2+tlntt4+etcost and y=cost2+tlntt4+etcost

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that a¹ = 14, ƒ(a) = 3, ƒ'(a) = 8, ƒ' (a³) = 6…

A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

A:

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: "(x) = a".

A:

Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

A:

Q: Let F(3) = 1, F'(3) = 5, H(3) = 2, H' (3) = 2. A. If G(2) = F(z) · H(2), then G' (3) B. If G(w) =…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(8) = 11, ƒ(11) = 2, ƒ'(11) = 5, ƒ'(8) =…

A:

Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

A:

Q: Let F(4) = 2, F'(4) = 4, H(4) = 2, H'(4) = 3. %3D A. If G(2) = F(z) · H(2), then G'(4) = %3D B. If…

A: Given : F4 = 2, F'4 = 4, H4 = 2, H'4=3

Q: A table of values for f, g, f', and g' is given. f(x) g(x) 3 2 1 8 7 2 X 1 2 3 (a) If h(x) =…

A: A table of values for f, g, f', and g' is given. x fx gx f'x g'x 1 3 2 4 6 2 1 8 5 7 3 7 2…

Q: Let F(æ) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 10, f(10) = 2, f'(10) = 3, f'(3) =…

A:

Q: (ii) Show that {Xt} is stationary.

A:

Q: Let f(x) f'(x) = = (2³+2)5 ³+6

A:

Q: Let h(x): = f(x) where f(-7)= 4, f'(-7)= 8, g(-7)= -2, and g'(-7) = -2. What is h'(-7)? g(x)'…

A:

Q: Find g'(3) if g(z) = 1-z √2z

A: Introduction: The derivative of a function in calculus of variable standards the sensitivity to…