c) Suppose f(5) = 1, f (5) = 6, f'(-3) = 4, g(5) = -3, g'(5) = 2, and h(x) = f(g(x)) + f(x)g(x), find h'(5). %3D %3D %3D

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

A:

Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: Let f (*= {(8) +f(9) for real values of x and y. If f '(0) exist 2 2 and equals –1 and f(0) = 1,…

A: Introduction :

Q: f(x)=3x7-4I+ Find f'(x)

A:

Q: Use the graph of f and g. p(x) = f(x)g(x) %3D f(x) q(x) = g(x) %3D y 10 8 f 4 2 -2 2 4 6. 8 10

A:

Q: If f'(x) = and f(0) = 2, then f(4)can be written in fully simpi %3D S(x)

A:

Q: 1-2 h(r) = 1=7²³²₁ 2-3 . Find h' (1).

A:

Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

A:

Q: rsin(r2) Let g(x) 1 and f(x) g(t) dt. Find f' (2). xª + 1

A: From the given information we can apply the fundamental theorem of calculus.

Q: If f(x) = (3x + 2)3, %3D then f' (1) = %3D

A: Consider the given function, fx=3x+23 now, differentiate the function with respect to x using chain…

Q: f (x) = (x³ – 5x + 2)(x² + x – 7); find f'(x) %3D

A:

Q: If f(x) 6e² – 8x* + 3, find f'(x). %3D

A:

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: Determine y'of (3x + 1)*(2x – 1)³

A:

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) 9(x) y 12 10 8 하 2 -2 2 4 10 -2 (a) Find p'(4).…

A: Given Data: px=fxgx ......1 qx=fxgx ......2 The derivative of equation (1) is, p'x=fxg'x+gxf'x…

Q: Find y as a function of a if y(0) = 8, 3/(0) = 8, "(0) = 25, "(0) = 0. y(x) = || (4) 10y" +25y"=0, 1

A:

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

A:

Q: Find g'(r), if g(r) = (5r-4)-²

A:

Q: The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). y 15 10 5 -2 4 6. 10 (a)…

A: Given - h(x)=f(g(x)) , s(x)=g(f(x)) (a) To write equation of h'(x) in terms of f(x) ,g(x), f'(x) and…

Q: The f'(5) for y = √3x² + 6

A: Solve the given for f'(5)

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.