Question

Given F(2) = 1, F'(2) = 7, F(4) = 3, F′(4) = 7

and G (4) = 2 , G′(4)= 6, G(3)= 4, G′(3)=11,

**find the following.**

(a) H(4) if H(x) = F(G(x))

**H(4) =**

(b) H′(4) if H(x) = F(G(x))

**H′(4) =**

(c) H(4) if H(x) = G(F(x))

**H(4) =**

(d) H′(4) if H(x) = G(F(x))

**H'(4)=**

Answer #1

3) If A = 3
1 and B
= 1 7
0
-2
5 -1
Find
a) BA
b) determinant
B
c) Adjoint A
d)
A-1
4) Using matrix method solve the following simultaneous
equations
5x – 3y = 1
2x – 2y = -2
5) Given that f(x) = 6x - 5 g(x) = 3x +
4 and h(x) = 4x – 6
2
Find:-
i)...

Given a matrix F = [3 6 7] [0 2 1] [2 3 4]. Use Cramer’s rule to
find the inverse matrix of F.
Given a matrix G = [1 2 4] [0 -3 1] [0 0 3]. Use Cramer’s rule
to find the inverse matrix of G.
Given a matrix H = [3 0 0] [-1 1 0] [-2 3 2]. Use Cramer’s rule
to find the inverse matrix of H.

Suppose that f(2) = −3, g(2) = 4, f '(2) = −1, and g'(2) = 5.
Find h'(2). (a) h(x) = 3f(x) − 5g(x) h'(2) h(x) = f(x)g(x) h'(2) =
h(x) = f(x) g(x) h'(2) =(d) h(x) = g(x) 1 + f(x) h'(2) =

Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0 (1) =
1, f0 (2) = 4, g0 (1) = 8, g0 (2) = −4.
(a) Suppose h(x) = f(x^2 g(x)). Find h 0 (1).
(b) Suppose j(x) = f(x) sin(x − 1). Find j 0 (1).
(c) Suppose m(x) = ln(x)+arctan(x) e x+g(2x) . Find m0 (1).

Suppose that f(2) = −4, g(2) = 2, f '(2) = −5, and g'(2) =
1.
Find h'(2).
a. h(x)=2f(x)-5g(x)
h'(2)=?
b. h(x)=f(x)g(x)
h'(2)=?
c. h(x)=f(x)/g(x)
h'(2)=?
d. h(x)=g(x)/1+f(x)
h'(2)=?

If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x) and
r'(x) if h(x) = 2(f(x))3/2 and r(x) = g(x) + p g(x), and determine
the greater value between h'(2) and r'(2).

1)If f(x)=2x-2 and g(x)=3x+9, find the following. a)
f(g(x))=? b) g(f(x))=? c) f(f(x))=?
2)Let f(x)=x^2 and g(x)=6x-16. Find the following: a)
f(3)+g(3)=? b) f(3)*g(3)=? c) f(g(3))=? d) g(f(3))=?
3) For g(x)=x^2+3x+4, find and simplify
g(3+h)-g(3)=?
Please break down in detail. Please and Thank
you

1020) y=8/sqrt(4x^7)=Ax^B + C. y'=Kx^F + G. y'(9)=H. Find A,B,C,K,F,G,H. ans:7
1026) Find the derivative of y=(5x^(1/4) - 8x^(1/7))^3, when x=2. ans:1
1010) y=3x^2 + 2x + 5 and y'=Ax^2 + Bx + C. Find A,B,C. Next Question:
y=(x^2)/7 + x/4 + 2 and y'=Hx^2 + Fx + G. Find H,F,G. ans:6

Let h(x) = f (g(x) − (x^2 + 1)) . If f(0) = 3, f(2) = 5, f ' (0)
= −5, f ' (2) = 11, g(1) = 2, and g ' (1) = 4.
What is h(1) and h ' (1)?

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

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