
Problem 4: If h(x) = f(g(x)) where f(-3) = 8, f'(-2) = 4, f'(5) = 3, 9(5) = -2 and 8'(5) = 6 find (5).
3. Finding the following Derivatives. (1) f(x) = 3 +5 (2) f(x) = -4° -2x f(x) = (3) f(x) = 27 x? (4) (5) f(x) = (3x2 - 1) (6) f(x) = 2x(x +1)
f(x) = 2x2 – 3, if x < 2 x2, if 2<x< 4 5x – 7, if x > 4 a) f(0) b) f(3)
sketch a graph of the given functions f(x)=(x-3)^2 f(x)=-x^3 f(x)=4|x-2|-6 please explain
Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x) 6 + [x - 5] if x 2 2 f(-1) = f(0) f(2) f(4) = A car travels at a constant speed of 50 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 50t. Find the inverse function by expressing the time of travel in terms of the distance traveled....
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13
3. |(6x2/3 + 2 cos x – 5) dx 4. Find f(x) given that f'(x) = 5x4 – 3x2 + 2 and f(1) = 4.
Given functions f(1) = I 2-4 Find I+2 a) f(-x) b) f(x – 3) c) f(x +h) +4 d) f(3) e) is -2 excluded from th domain. Why. Explain.
4 For the function f(x) = (x+3) (x-2) 3 the derivatives are f(x) = (5 x Ho) (x-2) {"(x) flox 720) (x-2)? co the correct location of all extremum points (if any) (b) the correct location of all inflection points (if any) (2) the correct location of all intercepts (if any) Y la correct location of all assme totes (if any) (2) graph the given function
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20