What is the derivative of 5x^3+2x^2+6x+10 ?

The derivative of 5x^3+2x^2+6x+10 is 15x^2+4x+6

What is the first derivative of 5x^3+2x^2+6x+10 ?

The first derivative of 5x^3+2x^2+6x+10 is 15x^2+4x+6

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\frac{d}{d x} (5 x^{3} + 2 x^{2} + 6 x + 10)

15 x^{2} + 4 x + 6

Solution steps

\frac{d}{d x} (5 x^{3} + 2 x^{2} + 6 x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (6 x) + \frac{d}{d x} (10)

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d}{d x} (6 x) = 6

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

= 15 x^{2} + 4 x + 6 + 0

Simplify

= 15 x^{2} + 4 x + 6

What is the derivative of 5x^3+2x^2+6x+10 ?
The derivative of 5x^3+2x^2+6x+10 is 15x^2+4x+6
What is the first derivative of 5x^3+2x^2+6x+10 ?
The first derivative of 5x^3+2x^2+6x+10 is 15x^2+4x+6