11 questions

If f (z) = (22 + 3x + 4) , then f' (x) = f' ( 4 ) = Find the derivative of f(x) = (5x - 4) -7. Simplify as much as possible. f' (z) = If f(z) = sin(z ), find f'(z) Find f' (1). Round to 3 decimal places if needed. If f(z) = sin' x, find f' (z) Find f'(3) The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 5cost + 87 ) +4 For the linear function y = f(x) = - 5x + 1: where t is the number of hours after midnight. Find the rate at which the depth is changing at 5 a.m. Round your answer to 4 decimal places. at x = 5. a. Find f' (5) = Find the following using the table below. b. Find a formula for a = f-'(y). f-1 (y) = 1 2 3 4 f(z) 1 3 2 4 C. Find af du aty = f(5). f' (x) 4 2 1 3 ( f - 1 )' (f (5 ) ) = [ 1 4 3 2 Question Heln' m.. . 9'(2) 3 1 2 4 if h(x) = f(g(z)) then h'(1) = Use the chain rule to find the derivative of f(x) = 6V8210 + 529 Type your answer without fractional or negative exponents. Use radicals and denominators instead. f'(x) = Let f(z) = (-7x2 - 8)'(922 +3) 12 Find f'(z) = You do not have to expand out your answer. Find the derivative of: 5 sin? ( - 4x-8). Hint: sin?(x) = [sin(x)]" ..so use the chain rule (twice!). For the function y = f(x) = - 5x3 - 3: a. Find - of - at x = 10. f' (10) = b. Find a formula for a = f-'(y). f-(y) = df - 1 C. Find - dy aty = f(10). ( f - 1 )' (f (10 ) ) = Question Help: Virden