# How do you find the derivative of y=x^4-3x^2+7x-2?

Aug 5, 2016

$\frac{\mathrm{dy}}{\mathrm{dx}} = 4 {x}^{3} - 6 x + 7$

#### Explanation:

To find derivative of a polynomial, one can use $\frac{d}{\mathrm{dx}} {x}^{n} = n {x}^{n - 1}$.

Hence, as $y = {x}^{4} - 3 {x}^{2} + 7 x - 2$

$\frac{\mathrm{dy}}{\mathrm{dx}} = 4 {x}^{4 - 1} - 3 \times 2 {x}^{2 - 1} + 7$ or

$\frac{\mathrm{dy}}{\mathrm{dx}} = 4 {x}^{3} - 6 x + 7$