Differentiate the following function respect to x p=e^{x^{2}\sin x}

luipieduq3

luipieduq3

Answered question

2021-11-22

Differentiate the following function respect to x
p=ex2sinx

Answer & Explanation

Sue Leahy

Sue Leahy

Beginner2021-11-23Added 13 answers

Step 1
Given that:
p=ex2sinx
Step 2
Differentiate the given function with respect to x then,
To apply chain rules of derivatives,
p=ddx(ex2sinx)
=ex2sinx[ddxx2sinx]
=ex2sinx[x2ddxsinx+sinxddxx2]
=ex2sinx[x2cosx+sinx2x]
p=ex2sinx[x2cosx+2xsinx]

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