What is the derivative of the expression (10+lgx^10+e^10x)^10?

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We have to find the derivative of y = (10 + lg (x^10) + e^10x)^10.

We use the chain rule to find the derivative of y.

y' = 10 * (10 + lg (x^10) + e^10x)^9 * (10 / x + 10*e^10x)

=> 10 * (10 + lg (x^10) + e^10x)^9 * 10 (1/ x + e^10x)

=> 100*(10 + lg (x^10) + e^10x)^9*(1/ x + e^10x)

The required derivative is 100*(10 + lg (x^10) + e^10x)^9*(1/x + e^10x)

 

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