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Leni [432]
3 years ago
13

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} = - 21x^{6} + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

Given

y = - 3x^{7} + 2x³ + x , then

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

    = - 21x^{6} + 6x² + 1

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