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Popular >

derivative of f(x)=294x^5-120x^4+420x^2

Solution

derivative of

f (x) = 294 x^{5} - 120 x^{4} + 420 x^{2}

Solution

1470 x^{4} - 480 x^{3} + 840 x

Solution steps

\frac{d}{d x} (294 x^{5} - 120 x^{4} + 420 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (294 x^{5}) - \frac{d}{d x} (120 x^{4}) + \frac{d}{d x} (420 x^{2})

\frac{d}{d x} (294 x^{5}) = 1470 x^{4}

\frac{d}{d x} (120 x^{4}) = 480 x^{3}

\frac{d}{d x} (420 x^{2}) = 840 x

= 1470 x^{4} - 480 x^{3} + 840 x

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=294x^5-120x^4+420x^2 ?
The derivative of f(x)=294x^5-120x^4+420x^2 is 1470x^4-480x^3+840x
What is the first derivative of f(x)=294x^5-120x^4+420x^2 ?
The first derivative of f(x)=294x^5-120x^4+420x^2 is 1470x^4-480x^3+840x