2) Let f be a (1:1) Pinction such that differenhable f(3) = 7 P(7) = 8, f'(3)=2, P(1) -3 If glad = f (x) then g'(z) = a) 1/2 c) // ej 1/3. b) 2 α) 1/8 d) 9(n)=3

Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

A: our objective is to find the required derivative

Q: Let f:A-B and X,Y be subsets of B. Then f-¹(XnY) = f'(X) nf-¹(Y). True False

A:

Q: Prove that if F(s) = L{f(t)} then L{t" f(t)} = (-1)" d"(F(3)) ds

A:

Q: If F is given by F(x) = (x – 2)³, what is the output - resulting from input equal to u² ? a) v6 –…

A: topic- polynomial

Q: (x) is continuous function find A for the following: xy - x² = y² = x B- Find at the following: C-…

A: As per the guidelines I need to answer only one question at a time. Here all the questions are…

Q: 6x2+5 If f(x) = In x4/5 find f' (x).

A:

Q: PLS HELP ASAP ON ALL

A: 4. Given:f(x)=π2Getting the derivative, we have:f′(x)=dxd​(π2)Since π is a constant, the derivative,…

Q: 7) Use Theorem 7.1.1 (Table) to find L{f(1}} for the following: S)-(e*-e*)}° a.

A: The given function is f(t)=(e-3t-e5t)2. Expand the function implies, f(t)=e-6t+e10t-2e2t The Laplace…

Q: 7 Find the most general function F such that F'(): - 5V?.

A:

Q: 1) If f(x) = x²(2), find f'(2)

A: f(x)=x2∫2xdtt2+5we know  d dx(∫axf(t)dt)=f(x)×d dx(x)-f(a)×d dx(a)

Q: 4. Find f"(2). (a) f(u) = 2u²5 – u).

A:

Q: let p(x)=g(f(x)). use the given table to find p'4

A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

Q: d f(x) 3. Use the table to evaluate dx g(x) x=1 x = 3 x = 5 x = 7 x = 9 f(x) 3 1 9. 5 f'(x) 5 1 3…

A: Given the table:

Q: Find the value of f(-1) when ƒ"(t) = 6(2t − 1) and ƒ'(1) = 6, ƒ(1) = 1.

A:

Q: If L{f(t)} = F(s) and L {g(t)} = G(s) then L{-t(f(t) * g(t))} is equal to: a) F'(s)G'(s) + F(s)G(s)…

A: