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Popular >

derivative of f(x)=10x^3-20x+1/5

Solution

derivative of

f (x) = 10 x^{3} - 20 x + \frac{1}{5}

Solution

30 x^{2} - 20

Solution steps

\frac{d}{d x} (10 x^{3} - 20 x + \frac{1}{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x^{3}) - \frac{d}{d x} (20 x) + \frac{d}{d x} (\frac{1}{5})

\frac{d}{d x} (10 x^{3}) = 30 x^{2}

\frac{d}{d x} (20 x) = 20

\frac{d}{d x} (\frac{1}{5}) = 0

= 30 x^{2} - 20 + 0

Simplify

= 30 x^{2} - 20

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=10x^3-20x+1/5 ?
The derivative of f(x)=10x^3-20x+1/5 is 30x^2-20
What is the first derivative of f(x)=10x^3-20x+1/5 ?
The first derivative of f(x)=10x^3-20x+1/5 is 30x^2-20