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For f(x) - Vx + 28, find f'(x) using the definition f'(x) = lim f ( * * th ) f ( z ) h

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For f(x) - Vx + 28, find f'(x) using the definition f'(x) = lim f ( * * th ) f ( z ) h -+0 h f ' (2 ) Using this, find the tangent line to the graph of y = Va + 28 at x = -3. Write the equation of the line in slope-intercept form. yFor f(x) - 2x3 - 3, find f'(x) using the definition f'(x) - lim f(ath) f(2) h f' (2) Using this, find the tangent line to the graph of y = 2x3 - 3 at x = -1. Enter all values as integers, or fractions in lowest terms. yYou have answered 1 out of 2 parts correctly. Let f(20 ) = 7+- (a) Find f'(x). f' (20 ) = (b) Find the slope of the tangent line at a - 2. Slope = f'(2) = 13 3x 2 AYou have answered 3 out of 4 parts correctly. Let f(ac) - 2ac3 + 1. a) Find f(x + h): 2(h+x) +1 b) Find f(x + h) - f(x): 2(h+x)- 2x c) Find f(ath) f(z) . 2x + 1 h h + 2 (h +x) +1 d) Find f'(a): 6.x2\fFor f(x) = 2, find f'(x) using the definition f'(x) - lim f(ath)-f(x) ho h f'(z ) = Using this, find the tangent line to the graph of y 2 atx = -1. Write the equation of the line in slope-intercept form. y

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