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Popular >

derivative of y=-8x^3+9x^2+6x-5

Solution

derivative of

y = - 8 x^{3} + 9 x^{2} + 6 x - 5

Solution

- 24 x^{2} + 18 x + 6

Solution steps

\frac{d}{d x} (- 8 x^{3} + 9 x^{2} + 6 x - 5)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (8 x^{3}) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (6 x) - \frac{d}{d x} (5)

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

\frac{d}{d x} (9 x^{2}) = 18 x

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

\frac{d}{d x} (5) = 0

= - 24 x^{2} + 18 x + 6 - 0

Simplify

= - 24 x^{2} + 18 x + 6

Popular Examples

sum from n=0 to infinity of (3^n)/(n^3)

n = 0 \sum \infty \frac{3 ^{n}}{n ^{3}}

6 y^{^{'}} = y^{2}

sum from n=2 to infinity of 2/(n^3-n)

n = 2 \sum \infty \frac{2}{n ^{3} - n}

(dy)/(dt)=0.2*(y-sin(t))+cos(t)

\frac{d y}{d t} = 0.2 \cdot (y - sin (t)) + cos (t)

integral of 1/(3x+5)

\int \frac{1}{3 x + 5} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=-8x^3+9x^2+6x-5 ?
The derivative of y=-8x^3+9x^2+6x-5 is -24x^2+18x+6
What is the first derivative of y=-8x^3+9x^2+6x-5 ?
The first derivative of y=-8x^3+9x^2+6x-5 is -24x^2+18x+6