What is the derivative of x^4-10x^2+9 ?

The derivative of x^4-10x^2+9 is 4x^3-20x

What is the first derivative of x^4-10x^2+9 ?

The first derivative of x^4-10x^2+9 is 4x^3-20x

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\frac{d}{d x} (x^{4} - 10 x^{2} + 9)

4 x^{3} - 20 x

Solution steps

\frac{d}{d x} (x^{4} - 10 x^{2} + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (10 x^{2}) + \frac{d}{d x} (9)

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (10 x^{2}) = 20 x

\frac{d}{d x} (9) = 0

= 4 x^{3} - 20 x + 0

Simplify

= 4 x^{3} - 20 x

\frac{d}{d x} (e^{x - 2 y})

\int \frac{x + 20}{x ^{2} + 18 x + 85} d x

\int sin^{2} (2 x) cos (x) d x

\frac{d}{d x} (e^{y} cos (x))

y = x^{2} - 7

What is the derivative of x^4-10x^2+9 ?
The derivative of x^4-10x^2+9 is 4x^3-20x
What is the first derivative of x^4-10x^2+9 ?
The first derivative of x^4-10x^2+9 is 4x^3-20x