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x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
Find the difference quotient and simplify. s(x)8x2-8r+5 The difference quotient off(x) is □
Find the difference quotient and simplify. s(x)8x2-8r+5 The difference quotient off(x) is □
1. Find and simplify the difference quotient f(x + h) − f(x) h for the following function. f(x) = x2 − 3x + 5 2. Find and simplify the difference quotient f(x + h) − f(x) h for the following function. f(x) = −6x + 4
1. Calculate f(x + h) 2. Calculate f (x+h)-f(x) 3. Simplify f(a+h)-f(x) 4. finish up with the limit Given f(x) = x2 - 12x, use lim f(x + h) - f(x) to find the slope of a tangent line this this function when x= 3. h
Let f(x) = 3x - 1, h(x)=x-4. Find (f o f)(-5). (f of)(-5) =
20+21
20. 1 points StitzPreCalc3 1.4.022e Let f(x) 4x2+ 4x 3. Find and simplify the following. f(a + 3) f(a + 3) Additional Materials Reading 21. points StitzPreCalc3 14.022. Let f(x) = 3x2 + 3x-4. Find and simplify the following. fa) + f(2) f(a) + f( 2) = Additional Materials LReacing
fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h - 1 Oh o 3h2 +6hx - h O1 O 3 - 1
Let f(x) =x + 4 and g(x) = x? – x. Find and simplify the expression. (f +9)(-1) (f+9)( - 1) = (Simplify your answer.)
2. (5 pts) Let f(x)= and x+1 5 g(x)= x-3 Find and simplify the composite function f(g(x)). Write as a single fraction.
1. Let h(x) = x4 - 6x3 + 12x2. a. Find h'(x) and h"(x). 2. If f(x) = 6 ln(x), for x > 0, then: a. Find f '(x). b. Find f "(x). 3. Which function below has derivative F'(x) = 30x4 ? Hint: Differentiate each of the choices until you find a result that matches this F '(x). (A) F(x) = 120x3 (B) F(x) = 6x5 (C) F(x) = 120x5 (D) F(x) = 6x3 4. Let g(x) = x4 - 2x3 + 3/ x3 Find g'(x), given...