What! Another Polynomial Differentiation?

Calculus Level 2

Important Detail :

If f ( x ) f'(x) can be expressed in the form of a x b ax^{ b } , find a + b a+b .

Good Luck for the ultimate test!


The answer is 4095.

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1 solution

First, we would need to expand the equation. Note that the expansion of the first two terms will be a difference of square to the next neighboring term and so on. Hence, the final expansion will be....

Then by differentiating it would result in this expression,

Finally, add the power and the coefficient together and the answer will be 4095.

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