Chapter 4.4, Problem 37E

Use differential calculus to find the exact intervals where the function is increasing or decreasing:   f(x) = x4-4x3-8x2+5

D PM If f(x) = x + 7 and g(x) = x - 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an Question Help: Video ► Et ▬ O function of f(x)

Exercises 135 and 136: Find f(x) = a(x – h) + k so that f models the data exactly. 135. 2 3 5-1-3-1 5 136. * -2-1 2 4 2 -4 -14 2.

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I need help with all ten

Q7- Find the third derivative of the function

Theor em : If L{F(1)}= f(s) and a>0, then L{F(t-a)H(t- a)} = ef(s), where JI, it1>0 andH (1) is called Heaviside unit step function. |0, if 1<0

In Exercises 93-98, let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. 4 93. + fl 6 94. + 6. 6 17 95. (h º g) 3 97. the average rate of change of f from 37 X1 = to x2 = 2 98. the average rate of change of g from = Ix to x2 = T 4

Example Let f (x) = x³ – with domain (-x, 0). Determine where f is increasing and where f is decreasing.