What is the derivative of f(x)=x^7-x^3 ?

The derivative of f(x)=x^7-x^3 is 7x^6-3x^2

What is the first derivative of f(x)=x^7-x^3 ?

The first derivative of f(x)=x^7-x^3 is 7x^6-3x^2

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derivative

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

Solution steps

\frac{d}{d x} (x^{7} - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{7}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (x^{7}) = 7 x^{6}

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

= 7 x^{6} - 3 x^{2}

What is the derivative of f(x)=x^7-x^3 ?
The derivative of f(x)=x^7-x^3 is 7x^6-3x^2
What is the first derivative of f(x)=x^7-x^3 ?
The first derivative of f(x)=x^7-x^3 is 7x^6-3x^2