`h(x) = 6x^-2 + 7x^2` Find the second derivative of the function.

1 Answer

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hkj1385 | (Level 1) Assistant Educator

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Note:- If y = x^n ; where n = constant ; then dy/dx = n*x^(n-1)

Now,

`h(x) = 6x^-2 + 7x^2`

`h'(x) = -12x^-3 + 14x`

`h''(x) = -12*(-3)*x^-4 + 14`

`or, h''(x) = 36x^-4 + 14`

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