Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x.

A.

10x + 1

B.

10x + 2

C.

x(15x + 1)

D.

x(15x + 2)

View answer & explanation

Correct answer is A

\(\frac{5x^ 3+x^2}{x}\) → \(\frac{5x^ 3}{x} + \frac{x^2}{x}\)

5x\(^2\) + x 

Then dy/dx = 10x + 1

 

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