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Popular >

derivative of f(x)= 20/3 x^3+380x^2

Solution

derivative of

f (x) = \frac{20}{3} x^{3} + 380 x^{2}

Solution

20 x^{2} + 760 x

Solution steps

\frac{d}{d x} (\frac{20}{3} x^{3} + 380 x^{2})

Simplify

\frac{20}{3} x^{3} + 380 x^{2} : \frac{20 x ^{3}}{3} + 380 x^{2}

= \frac{d}{d x} (\frac{20 x ^{3}}{3} + 380 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{20 x ^{3}}{3}) + \frac{d}{d x} (380 x^{2})

\frac{d}{d x} (\frac{20 x ^{3}}{3}) = 20 x^{2}

\frac{d}{d x} (380 x^{2}) = 760 x

= 20 x^{2} + 760 x

Popular Examples

(\partial)/(\partial x)(3ln(x)+ln(y))

\frac{\partial}{\partial x} (3 ln (x) + ln (y))

(\partial)/(\partial x)(400e^{xy})

\frac{\partial}{\partial x} (400 e^{x y})

sum from n=1 to infinity of nsin(n)

n = 1 \sum \infty n sin (n)

sum from n=1 to infinity of 5/(3^{2n)}

n = 1 \sum \infty \frac{5}{3 ^{2 n}}

tangent of y=3x^3-x^2+6x+4 tangent of

y = 3 x^{3} - x^{2} + 6 x + 4

Frequently Asked Questions (FAQ)

What is the derivative of f(x)= 20/3 x^3+380x^2 ?
The derivative of f(x)= 20/3 x^3+380x^2 is 20x^2+760x
What is the first derivative of f(x)= 20/3 x^3+380x^2 ?
The first derivative of f(x)= 20/3 x^3+380x^2 is 20x^2+760x