) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а? х ) Find equations of the tangent lines at the points (1, 12) and (2, 13). x) = | 16x 4 X (at the point (1, 12)) - х) %3D| 44х — 75 X (at the point (2, 13)) -

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(a) Find the slope m of the tangent to the curve y = 9 + 5x2 – 2x3 at the point where x = a.
10a + 6a?| x
m =
(b) Find equations of the tangent lines at the points (1, 12) and (2, 13).
У(x) %3D| 16х —4
X (at the point (1, 12))
У(x) %3D| 44х — 75
X (at the point (2, 13))
Transcribed Image Text:(a) Find the slope m of the tangent to the curve y = 9 + 5x2 – 2x3 at the point where x = a. 10a + 6a?| x m = (b) Find equations of the tangent lines at the points (1, 12) and (2, 13). У(x) %3D| 16х —4 X (at the point (1, 12)) У(x) %3D| 44х — 75 X (at the point (2, 13))
If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).
f(4)
f'(4)
Transcribed Image Text:If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4). f(4) f'(4)
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