Question

y=e^x (sin x)/x^2

differenciate it
physics class 11 ​

Answer 1

Answer:

Answered 1 year ago

Let us use logarithmic differentiation to find the derivative. Taking logarithms on both sides of y= X2 e^x sinx , we get logy = 2logx + loge^x + logsinx.

Differentiating both sides of the above equation with respect to x, we get

y'/y =(2/x + 1 + cotx)

Therefore dy/dx = y' = y(2/x + 1 + cotx)

= x² e^x sinx(2/x + 1 + cotx)

The derivative can also be found by using the product rule.

Hope it helps u !!

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