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In Exercise find the derivative of the functions.
f(x) = 3/7x^2

User XMERLION
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1 Answer

5 votes

Answer:


(d(f(x)))/(dx) = (-6)/(7)x^(-3)

Explanation:

We are given the following in the question:


f(x) = (3)/(7x^2)

We have to find derivative of the given function

Formula:


(d(x^n))/(dx) = nx^(n-1)

Derivation the given function we get:


(d(f(x)))/(dx) = (d)/(dx)\bigg((3)/(7x^2)\bigg)\\\\=(d)/(dx)\bigg((3x^(-2))/(7)\bigg)\\\\=(3)/(7)(-2)(x^(-2-1))\\\\=(-6)/(7)x^(-3)


(d(f(x)))/(dx) = (-6)/(7)x^(-3)

User Chris Kempen
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