What is the derivative of y=x^4+5x^2-x ?

The derivative of y=x^4+5x^2-x is 4x^3+10x-1

What is the first derivative of y=x^4+5x^2-x ?

The first derivative of y=x^4+5x^2-x is 4x^3+10x-1

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derivative of

y = x^{4} + 5 x^{2} - x

4 x^{3} + 10 x - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 4 x^{3} + 10 x - 1

What is the derivative of y=x^4+5x^2-x ?
The derivative of y=x^4+5x^2-x is 4x^3+10x-1
What is the first derivative of y=x^4+5x^2-x ?
The first derivative of y=x^4+5x^2-x is 4x^3+10x-1