Class 11 Maths Limits Derivatives Theorem Derivative

Theorem 3: Derivative of f(x) = xn is nxn–1 for any positive integer n.

Refer ExamFear video lessons for Proof

 

Numerical: Compute the derivative of 6x100 x55 + x.

Solution: Applying the theorem above, we get derivate as  600x99 − 55x54 +1 .

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