Calculus 10 : Make it brilliant

Calculus Level 2

f a n ( x ) = − d d x ( a − x ) n ; a > x \large f_a^n(x) = -\frac d{dx} (a-x)^n; \quad a > x

Find the value of f 5 4 ( 2 ) \large f_5^4(2)

Bonus : Can you generalize f a n f_a^n ?


The answer is 108.

Viki Zeta by Viki Zeta , 19, India

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1 solution

Md Zuhair
Oct 9, 2016

According to the question we have to find out - d / d x ( 5 − x ) 4 d/dx ( 5-x)^4 at x = 2 x = 2 .

Or 4. ( 5 − x ) 3 4 . (5-x)^3 = 3 3 . 4 3^3 . 4 = 108 108

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice :). Try generalizing this for f ( x ) f(x) .

Viki Zeta - 4 years, 8 months ago

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