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Popular Calculus >

derivative of \sqrt[4]{x^9}+2sqrt(x^5)

Solution

\frac{d}{d x} (4 x^{9} + 2 x^{5})

Solution

\frac{9 x ^{\frac{5}{4}}}{4} + 5 x^{\frac{3}{2}}

Solution steps

\frac{d}{d x} (4 x^{9} + 2 x^{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{9}) + \frac{d}{d x} (2 x^{5})

\frac{d}{d x} (4 x^{9}) = \frac{9 x ^{\frac{5}{4}}}{4}

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

= \frac{9 x ^{\frac{5}{4}}}{4} + 5 x^{\frac{3}{2}}

Graph

Popular Examples

derivative of f(x)=(c^5-x^5)/(c^5+c^5)

d er i v a t i v e f (x) = \frac{c ^{5} - x ^{5}}{c ^{5} + c ^{5}}

f^{^{'}} (t) - f (t) = 6 t

y^2+x^2y^'=xyy^'

y^{2} + x^{2} y^{^{'}} = x y y^{^{'}}

area y=x,y=(x-1)^2

a re a y = x, y = (x - 1)^{2}

integral of ((9+sqrt(x)+x))/x

\int \frac{( 9 + x + x )}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[4]{x^9}+2sqrt(x^5) ?
The derivative of \sqrt[4]{x^9}+2sqrt(x^5) is (9x^{5/4})/4+5x^{3/2}
What is the first derivative of \sqrt[4]{x^9}+2sqrt(x^5) ?
The first derivative of \sqrt[4]{x^9}+2sqrt(x^5) is (9x^{5/4})/4+5x^{3/2}