Application of DerivativeHard
Question
The angle at which the curve y = kekx intersects the y-axis is -
Options
A.tan-1 k2
B.cot-1 k2
C.sin-1
D.sec-1
Solution
= K2ekx
= K2 = tan θ(where θ is angle made by x-axis)
Let φ be the angle made by y-axis
tan θ = tan
= cot φcot φ = K2
φ = cot-1(K2)
⇒ φ = sin-1
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