What is the derivative of 5x^4-2x^3-x^2 ?

The derivative of 5x^4-2x^3-x^2 is 20x^3-6x^2-2x

What is the first derivative of 5x^4-2x^3-x^2 ?

The first derivative of 5x^4-2x^3-x^2 is 20x^3-6x^2-2x

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\frac{d}{d x} (5 x^{4} - 2 x^{3} - x^{2})

20 x^{3} - 6 x^{2} - 2 x

Solution steps

\frac{d}{d x} (5 x^{4} - 2 x^{3} - x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

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

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

= 20 x^{3} - 6 x^{2} - 2 x

\int 16 sin^{2} (x) d x

\int 3 x d x

\frac{\partial}{\partial φ} (sin (θ) cos (φ))

\int 1 + 16 x^{2} d x

(x + 1) y^{^{'}} + y = x

What is the derivative of 5x^4-2x^3-x^2 ?
The derivative of 5x^4-2x^3-x^2 is 20x^3-6x^2-2x
What is the first derivative of 5x^4-2x^3-x^2 ?
The first derivative of 5x^4-2x^3-x^2 is 20x^3-6x^2-2x