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Popular >

derivative of 12x^3+4-ln(3x+7)

Solution

\frac{d}{d x} (12 x^{3} + 4 - ln (3 x + 7))

Solution

36 x^{2} - \frac{3}{3 x + 7}

Solution steps

\frac{d}{d x} (12 x^{3} + 4 - ln (3 x + 7))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (12 x^{3}) + \frac{d}{d x} (4) - \frac{d}{d x} (ln (3 x + 7))

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (4) = 0

\frac{d}{d x} (ln (3 x + 7)) = \frac{3}{3 x + 7}

= 36 x^{2} + 0 - \frac{3}{3 x + 7}

Simplify

= 36 x^{2} - \frac{3}{3 x + 7}

Graph

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\int e^{t} \cdot sin (t) d t

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Frequently Asked Questions (FAQ)

What is the derivative of 12x^3+4-ln(3x+7) ?
The derivative of 12x^3+4-ln(3x+7) is 36x^2-3/(3x+7)
What is the first derivative of 12x^3+4-ln(3x+7) ?
The first derivative of 12x^3+4-ln(3x+7) is 36x^2-3/(3x+7)