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Popular >

derivative of f(x)=20x^2+14x-2x^2

Solution

derivative of

f (x) = 20 x^{2} + 14 x - 2 x^{2}

Solution

36 x + 14

Solution steps

\frac{d}{d x} (20 x^{2} + 14 x - 2 x^{2})

Simplify

20 x^{2} + 14 x - 2 x^{2} : 18 x^{2} + 14 x

= \frac{d}{d x} (18 x^{2} + 14 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (18 x^{2}) + \frac{d}{d x} (14 x)

\frac{d}{d x} (18 x^{2}) = 36 x

\frac{d}{d x} (14 x) = 14

= 36 x + 14

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=20x^2+14x-2x^2 ?
The derivative of f(x)=20x^2+14x-2x^2 is 36x+14
What is the first derivative of f(x)=20x^2+14x-2x^2 ?
The first derivative of f(x)=20x^2+14x-2x^2 is 36x+14