3) Find the difference quotient of f(x)-2x2 + 3x + 4. That is, find f(x+h)-f(x) where h 0
Find all the critical numbers of the function. f(x) = 2x2 + 3x? - 36x + 10 O A. -2 OB. 6 O C. -3,2 OD. 3, -2
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
f(x + h)-f(x) Find the difference quotient of f, that is, find , h # 0, for the following function Be sure to simplify fx)-x2-3x+1 f(x+ h)-fx)
7. If f(x) = (2x2 + 3x - 7), find f'(x).
Find the partial derivative. Find fx (-2,3) when f(x,y) = 2x2 – 3xy - y. O A. - 10 B. 15 C. -9 OD. 14
Consider the function f(x)-5x -x-3 and complete parts (a) through (d) (a) Find fix + h) (b) Find fkth) fs) (c) Use the above answer and the limit definition of the derivative to find the derivative of the function f (d) Find the value of the derivative of f when x-1 (a) fx+h)- Simplify your answer. Do not factor) fx+ h) fx) Simplify your answer Do not factor.) c) f(x) E (d) The derviative f(1) elfo Simplify your answer)
This Question: 1 pt f(x +h)-f(x) For the function f(x) = 3x + 10, find (a) f(x+h), (b) f(x+h)-f(x), and (c) h (a) f(x+h)= (Simplify your answer.) (b) f(x+h)-f(x) = (Simplify your answer.) (c) f(x+h) – f(x) h (Simplify your answer.)
Use the given function f to answer parts (a) through (f) belovw fx)log (3x) (a) Find the domain of f. The domain of f is Type your answer in interval notation.) your an
h h-0 f(x +h) – f(x) a. For the following function, find f using the definition f'(x) = lim b. Determine an equation of the line tangent to the graph off at (a,f(a)) for the given value of a. f(x) = (3x +7, a = 6