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