Question

If y= -3x7+2x3+ x, the derivative of y with respect to x is

Answer 1

Answer:

$\frac{dy}{dx}$ = - 21$x^{6}$ + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ (a$x^{n}$ ) = na$x^{n-1}$

Given

y = - 3$x^{7}$ + 2x³ + x , then

$\frac{dy}{dx}$ = (7 × - 3 )$x^{6}$ + (3 × 2)x² + (1 × 1 )$x^{0}$

    = - 21$x^{6}$ + 6x² + 1