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Popular >

derivative of 1/27 (x^5+2x^3)

Solution

\frac{d}{d x} (\frac{1}{27} (x^{5} + 2 x^{3}))

Solution

\frac{1}{27} (5 x^{4} + 6 x^{2})

Solution steps

\frac{d}{d x} (\frac{1}{27} (x^{5} + 2 x^{3}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{27} \frac{d}{d x} (x^{5} + 2 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{1}{27} (\frac{d}{d x} (x^{5}) + \frac{d}{d x} (2 x^{3}))

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= \frac{1}{27} (5 x^{4} + 6 x^{2})

Popular Examples

integral of sqrt(26x-x^2)

\int 26 x - x^{2} d x

integral from 0 to 2pi of sin^2(7x)

\int_{0}^{2 π} sin^{2} (7 x) d x

integral from 0 to sin(x) of 4sqrt(t)

\int_{0}^{s i n (x)} 4 t d t

integral of sin^5(xco)s^5x

\int sin^{5} (x co) s^{5} x d x

7x(x+5y)((dy)/(dx))=7y(x-5y)

7 x (x + 5 y) (\frac{d y}{d x}) = 7 y (x - 5 y)

Frequently Asked Questions (FAQ)

What is the derivative of 1/27 (x^5+2x^3) ?
The derivative of 1/27 (x^5+2x^3) is 1/27 (5x^4+6x^2)
What is the first derivative of 1/27 (x^5+2x^3) ?
The first derivative of 1/27 (x^5+2x^3) is 1/27 (5x^4+6x^2)