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Popular >

derivative of x^3-7x^2+15x-10

Solution

\frac{d}{d x} (x^{3} - 7 x^{2} + 15 x - 10)

Solution

3 x^{2} - 14 x + 15

Solution steps

\frac{d}{d x} (x^{3} - 7 x^{2} + 15 x - 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (15 x) - \frac{d}{d x} (10)

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

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (15 x) = 15

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

= 3 x^{2} - 14 x + 15 - 0

Simplify

= 3 x^{2} - 14 x + 15

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of x^3-7x^2+15x-10 ?
The derivative of x^3-7x^2+15x-10 is 3x^2-14x+15
What is the first derivative of x^3-7x^2+15x-10 ?
The first derivative of x^3-7x^2+15x-10 is 3x^2-14x+15