What is the derivative of f(x)=x^5-3x+4 ?

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

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

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

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derivative of

f (x) = x^{5} - 3 x + 4

5 x^{4} - 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (4) = 0

= 5 x^{4} - 3 + 0

Simplify

= 5 x^{4} - 3

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