
All G.
asked 03/07/24Find equations of the tangent line and normal line to the curve at the given point
Find equations of the tangent line and normal line to the curve at the given point.
y = x4 + 5ex, (0, 5)
tangent line y=
normal line y=
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1 Expert Answer

Yefim S. answered 03/07/24
Tutor
5
(20)
Math Tutor with Experience
y' = 4x3 + 5ex; y'(0) = 5
tangent line: y = 5 + 5x
normal line: y = 5 - 1/5x
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Doug C.
Find the derivative, evaluate at x=0 to determine the slope. Use point slope. The normal line is perpendicular to the tangent line, so its slope will be -1/f'(0). desmos.com/calculator/9u6hnb879z Check your work at the above graph and post comment for any questions.03/07/24