If the tangent line to y=f(x) at (6,2) passes through the point (0,1), find f(6) and f′(6). f(6)= f′(6)= (a) If G(x)=5x2
Posted: Wed Jul 13, 2022 5:06 am
If the tangent line to y=f(x) at (6,2) passes through the point (0,1), find f(6) and f′(6). f(6)= f′(6)=
(a) If G(x)=5x2−x3, find G′(a) and use it to find equations of the tangent lines to the curve y=5x2−x3 at the points (3,18) and (4, 16). G′(a)= passing through (3,18)y1(x)= passing through (4,16)y2(x)= (b) Illustrate part (a) by graphing the curve and the tangent lines on the same screen.
(a) If G(x)=5x2−x3, find G′(a) and use it to find equations of the tangent lines to the curve y=5x2−x3 at the points (3,18) and (4, 16). G′(a)= passing through (3,18)y1(x)= passing through (4,16)y2(x)= (b) Illustrate part (a) by graphing the curve and the tangent lines on the same screen.