Very Basic Calculus!

Calculus Level 1

f ( x ) = 6 x 2 f(x)= 6x^{2} , What is f ′ ( x ) f'(x) ?

6x 24x 12x 13x

Swapnil Das by Swapnil Das , 20, India

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1 solution

Theorem : d d x a x n = a n x n − 1 \dfrac{d}{dx} ax^{n} = anx^{n-1} .

Therefore, f ′ ( x ) = d d x 6 x 2 = ( 6 ) ( 2 ) x 2 − 1 = 12 x f'(x) = \dfrac{d}{dx} 6x^{2} = (6)(2)x^{2-1} = \boxed{12x} .

For proof of the theorem, see this .

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Moderator note:

Simple standard approach.

I hope I could post more and better problems, but its a hell typing LaTeX on tab😥

Swapnil Das - 5 years, 10 months ago

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Yes, I understand bro.

Venkata Karthik Bandaru - 5 years, 10 months ago

BTW nice solution.

Swapnil Das - 5 years, 10 months ago

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Thanks for your complement :) !

Venkata Karthik Bandaru - 5 years, 10 months ago

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