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Popular >

derivative of (x^6/6-(x^5)/5+20)

Solution

\frac{d}{d x} (\frac{x ^{6}}{6} - \frac{x ^{5}}{5} + 20)

Solution

x^{5} - x^{4}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{6} - \frac{x ^{5}}{5} + 20)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{6}}{6}) - \frac{d}{d x} (\frac{x ^{5}}{5}) + \frac{d}{d x} (20)

\frac{d}{d x} (\frac{x ^{6}}{6}) = x^{5}

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

\frac{d}{d x} (20) = 0

= x^{5} - x^{4} + 0

Simplify

= x^{5} - x^{4}

Popular Examples

area f(x)=x,g(x)=sqrt(x),x=0,x=2 area

f (x) = x, g (x) = x, x = 0, x = 2

y^{''}+2y^'+5y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 2

sum from n=1 to infinity of 1/(n^3)

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

integral of 10cos(100x)

\int 10 cos (100 x) d x

tangent of 2/(x-3)tangent of

\frac{2}{x - 3}

Frequently Asked Questions (FAQ)

What is the derivative of (x^6/6-(x^5)/5+20) ?
The derivative of (x^6/6-(x^5)/5+20) is x^5-x^4
What is the first derivative of (x^6/6-(x^5)/5+20) ?
The first derivative of (x^6/6-(x^5)/5+20) is x^5-x^4