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Popular >

derivative of 3x^2+99x+log_{10}(x)

Solution

derivative of

3 x^{2} + 99 x + lo g_{10} (x)

Solution

6 x + 99 + \frac{1}{x ln ( 10 )}

Solution steps

\frac{d}{d x} (3 x^{2} + 99 x + lo g_{10} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (99 x) + \frac{d}{d x} (lo g_{10} (x))

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (99 x) = 99

\frac{d}{d x} (lo g_{10} (x)) = \frac{1}{x ln ( 10 )}

= 6 x + 99 + \frac{1}{x ln ( 10 )}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 3x^2+99x+log_{10}(x) ?
The derivative of 3x^2+99x+log_{10}(x) is 6x+99+1/(xln(10))
What is the first derivative of 3x^2+99x+log_{10}(x) ?
The first derivative of 3x^2+99x+log_{10}(x) is 6x+99+1/(xln(10))