?a) Graph the function

?f(x)equals=2 x squared plus 4 x2x2+4x.

Draw the tangent lines to the graph at the points whose? x-coordinates are

negative 1?1?,

00?,

and

11.

?b) Find

f prime left parenthesis x right parenthesisf?(x)

by determining

ModifyingBelow lim With h right arrow 0limh?0StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFractionf(x+h)?f(x)h.

?c) Find

f prime left parenthesis negative 1 right parenthesisf?(?1)?,

f prime left parenthesis 0 right parenthesisf?(0)?,

and

f prime left parenthesis 1 right parenthesisf?(1).

These slopes should match those of the lines in part? (b).

Transcribed Image Text:

Score: 0 of 5 pts X 1.4.11 O A. a) Graph the function f(x) = 2x² + 4x. Draw the tangent lines to the graph at the points whose x-coordinates are - 1, 0, and 1. b) Find f'(x) by determining lim f(x+h)-f(x) h h→0 c) Find f'(-1), f'(0), and f'(1). These slopes should match those of the lines in part (b). a) Choose the correct graph below. -8 O B. -8 A) 14 of 20 (19 complete) Click to select your answer and then click Check Answer. parts remaining O C. Clear All HW Score: 67.69%, 44 of 65 pts Question Help + O D. Ⓒ Check Answer Score: 0 of 5 pts X 1.4.11 O A. a) Graph the function f(x) = 2x² + 4x. Draw the tangent lines to the graph at the points whose x-coordinates are - 1, 0, and 1. b) Find f'(x) by determining lim f(x+h)-f(x) h h→0 c) Find f'(-1), f'(0), and f'(1). These slopes should match those of the lines in part (b). a) Choose the correct graph below. -8 O B. -8 A) 14 of 20 (19 complete) Click to select your answer and then click Check Answer. parts remaining O C. Clear All HW Score: 67.69%, 44 of 65 pts Question Help + O D. Ⓒ Check Answer