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Popular >

derivative of 2x^3-15x^2+36x-10

Solution

\frac{d}{d x} (2 x^{3} - 15 x^{2} + 36 x - 10)

Solution

6 x^{2} - 30 x + 36

Solution steps

\frac{d}{d x} (2 x^{3} - 15 x^{2} + 36 x - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (15 x^{2}) + \frac{d}{d x} (36 x) - \frac{d}{d x} (10)

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

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (36 x) = 36

\frac{d}{d x} (10) = 0

= 6 x^{2} - 30 x + 36 - 0

Simplify

= 6 x^{2} - 30 x + 36

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x \to 0 lim (\frac{1}{x ^{2} ( x + 7 )})

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t \cdot cos (k t)

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\int \frac{1}{9 x - 4} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3-15x^2+36x-10 ?
The derivative of 2x^3-15x^2+36x-10 is 6x^2-30x+36
What is the first derivative of 2x^3-15x^2+36x-10 ?
The first derivative of 2x^3-15x^2+36x-10 is 6x^2-30x+36