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}

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

Solution steps

Apply the Sum/Difference Rule:

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

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

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

f (x) = \frac{c ^{5} - x ^{5}}{c ^{5} + c ^{5}}

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

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

\int 8 sin^{2} (t - \frac{π}{12}) d t

2 sin^{2} (t)

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}