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Question

Find the slope of the tangent to the curve y=4x23x8 at point (3,4).

A
27
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B
27
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C
29
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D
29
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Solution

The correct option is B 27
The slope of the tangent to the curve y=4x23x8 is given by dydx
So, we have slope as
dydx=d(4x23x8)dx=8x3
Thus, slope of the tangent at point (3,4) is given as
dydx|(3,4)=(8×(3)3)=27

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