What is the derivative of x^4+6x^2-x ?

The derivative of x^4+6x^2-x is 4x^3+12x-1

What is the first derivative of x^4+6x^2-x ?

The first derivative of x^4+6x^2-x is 4x^3+12x-1

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derivative of

x^{4} + 6 x^{2} - x

4 x^{3} + 12 x - 1

Solution steps

\frac{d}{d x} (x^{4} + 6 x^{2} - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (6 x^{2}) - \frac{d x}{d x}

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d x}{d x} = 1

= 4 x^{3} + 12 x - 1

4 x y^{^{'}} - 20 y = x^{- 5}

\int e^{y} (e^{y} + 1)^{- 2} d y

10 x y^{^{'}} - 7 y = 2 x^{4}

\frac{\partial}{\partial y} (z^{2} x + y^{3})

f (x) = x - 3 x^{\frac{1}{3}}

What is the derivative of x^4+6x^2-x ?
The derivative of x^4+6x^2-x is 4x^3+12x-1
What is the first derivative of x^4+6x^2-x ?
The first derivative of x^4+6x^2-x is 4x^3+12x-1