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Popular >

derivative of 0.005x^2-ln(x^{16}+70)

Solution

\frac{d}{d x} (0.005 x^{2} - ln (x^{16}) + 70)

Solution

0.01 x - \frac{16}{x}

Solution steps

\frac{d}{d x} (0.005 x^{2} - ln (x^{16}) + 70)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (0.005 x^{2}) - \frac{d}{d x} (ln (x^{16})) + \frac{d}{d x} (70)

\frac{d}{d x} (0.005 x^{2}) = 0.01 x

\frac{d}{d x} (ln (x^{16})) = \frac{16}{x}

\frac{d}{d x} (70) = 0

= 0.01 x - \frac{16}{x} + 0

Simplify

= 0.01 x - \frac{16}{x}

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Frequently Asked Questions (FAQ)

What is the derivative of 0.005x^2-ln(x^{16}+70) ?
The derivative of 0.005x^2-ln(x^{16}+70) is 0.01x-(16)/x
What is the first derivative of 0.005x^2-ln(x^{16}+70) ?
The first derivative of 0.005x^2-ln(x^{16}+70) is 0.01x-(16)/x