Question

Differentiate 1/x³+3x²

Answer 1

Answer:

63930

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Answer 2

Answer:

[  + 3 ] = -3x⁻⁴ + 6x

Step-by-step explanation:

We need to differentiate $\frac{1}{x^{3} }$ + 3x²

This can also be written as x⁻³ + 3x²

We know that the differentiation of xⁿ = nxⁿ⁻¹

We also know that $\frac{d}{dx}$ [f(x) + g(x)] =  $\frac{d}{dx}$  [f(x)]  +  $\frac{d}{dx}$  [g(x)]

Therefore applying the same formula in the given question

[  x⁻³ + 3x² ] = -3x ⁻³⁻¹  + 3 * 2x²⁻¹

                       = -3x⁻⁴ + 6x