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Popular >

derivative of-30x^3+(12x/5-1/3)

Solution

\frac{d}{d x} (- 30 x^{3} + \frac{12 x}{5} - \frac{1}{3})

Solution

- 90 x^{2} + \frac{12}{5}

Solution steps

\frac{d}{d x} (- 30 x^{3} + \frac{12 x}{5} - \frac{1}{3})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (30 x^{3}) + \frac{d}{d x} (\frac{12 x}{5}) - \frac{d}{d x} (\frac{1}{3})

\frac{d}{d x} (30 x^{3}) = 90 x^{2}

\frac{d}{d x} (\frac{12 x}{5}) = \frac{12}{5}

\frac{d}{d x} (\frac{1}{3}) = 0

= - 90 x^{2} + \frac{12}{5} - 0

Simplify

= - 90 x^{2} + \frac{12}{5}

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Frequently Asked Questions (FAQ)

What is the derivative of-30x^3+(12x/5-1/3) ?
The derivative of-30x^3+(12x/5-1/3) is -90x^2+12/5
What is the first derivative of-30x^3+(12x/5-1/3) ?
The first derivative of-30x^3+(12x/5-1/3) is -90x^2+12/5