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

The derivative of f(x)=x^5-2x^3+x is 5x^4-6x^2+1

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

The first derivative of f(x)=x^5-2x^3+x is 5x^4-6x^2+1

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derivative

5 x^{4} - 6 x^{2} + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 5 x^{4} - 6 x^{2} + 1

What is the derivative of f(x)=x^5-2x^3+x ?
The derivative of f(x)=x^5-2x^3+x is 5x^4-6x^2+1
What is the first derivative of f(x)=x^5-2x^3+x ?
The first derivative of f(x)=x^5-2x^3+x is 5x^4-6x^2+1