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Popular >

derivative of f(x)=2x^3-5x^2+6

Solution

derivative of

f (x) = 2 x^{3} - 5 x^{2} + 6

Solution

6 x^{2} - 10 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (6) = 0

= 6 x^{2} - 10 x + 0

Simplify

= 6 x^{2} - 10 x

Popular Examples

integral from-1 to 1 of x^2-2-e^x

\int_{- 1}^{1} x^{2} - 2 - e^{x} d x

integral from 0 to pi of sin(t)

\int_{0}^{π} sin (t) d t

y^{^{'}} = 2 x - y

derivative of 3^{x^2-x+5}

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

derivative of (x^2+10x/((x+5)^2))

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

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2x^3-5x^2+6 ?
The derivative of f(x)=2x^3-5x^2+6 is 6x^2-10x
What is the first derivative of f(x)=2x^3-5x^2+6 ?
The first derivative of f(x)=2x^3-5x^2+6 is 6x^2-10x