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Digestive systemif y=log(sin(x³)) ,obtaindy/dx using chain rule of diffrentiation


Jaswanth Ravuru 8th Apr, 2022
Answer (1)
Arhana Chakraborty 9th Apr, 2022

y=log(sin(x^3))

dy/dx = d/dx (log(sin(x^3)))= (1/sin(x^3))*[d/dx (sin((x^3))]= (1/sin(x^3))*cos(x^3)*d/dx(x^3)= (1/sin(x^3))*cos(x^3)*3x^2

Therefore, the answer of the differentiation is  cos(x^3)*3x^2/sin(x^3)

Here, ^ means to the power and * means multiplication.

I hope this helps. Wish you a great day!

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