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Question -

Find a point on thecurve y2┬а= 2x3┬аat which the Slope of thetangent is 3



Answer -

Given the curve y2┬а= 2x3┬аand theSlope of tangent is 3

y2┬а= 2x3

Differentiating the above with respect to x

dy/dx = 0 which is not possible.

So we take x = 2 and substitute it in┬аy2┬а=2x3, we get

y2┬а= 2(2)3

y2┬а= 2 ├Ч 8

y2┬а= 16

y =┬а4

Thus, the required point is (2, 4)

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