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

Mathematics

1 answer:

larisa [96]3 years ago

8 0

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

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