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Popular >

derivative of (4/5 x^5)

Solution

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

Solution

\frac{1024 x ^{4}}{625}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

5 (\frac{4}{5} x)^{4} \frac{4}{5} : \frac{1024 x ^{4}}{625}

= \frac{1024 x ^{4}}{625}

Popular Examples

integral of x/((x^4+2))

\int \frac{x}{( x ^{4} + 2 )} d x

ty^'+2y=sin(t),y(pi/2)=7

t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 7

area x^2-41,7-2x area

x^{2} - 41, 7 - 2 x

integral of sin(θ)sin(3θ)sin(5θ)

\int sin (θ) sin (3 θ) sin (5 θ) d θ

tangent of sqrt(x),\at x=100 tangent of

x, at x = 100

Frequently Asked Questions (FAQ)

What is the derivative of (4/5 x^5) ?
The derivative of (4/5 x^5) is (1024x^4)/(625)
What is the first derivative of (4/5 x^5) ?
The first derivative of (4/5 x^5) is (1024x^4)/(625)