What is the derivative of t^3-1/(\sqrt[4]{t^7)} ?

The derivative of t^3-1/(\sqrt[4]{t^7)} is 3t^2+(7t^6)/(4(t^7)^{5/4)}

What is the first derivative of t^3-1/(\sqrt[4]{t^7)} ?

The first derivative of t^3-1/(\sqrt[4]{t^7)} is 3t^2+(7t^6)/(4(t^7)^{5/4)}

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derivative of

t^{3} - \frac{1}{4 t ^{7}}

3 t^{2} + \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}}

Solution steps

\frac{d}{d t} (t^{3} - \frac{1}{4 t ^{7}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (\frac{1}{4 t ^{7}})

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (\frac{1}{4 t ^{7}}) = - \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}}

= 3 t^{2} - (- \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}})

Simplify

= 3 t^{2} + \frac{7 t ^{6}}{4 ( t ^{7} ) ^{\frac{5}{4}}}

\frac{\partial}{\partial y} (y^{2} sin (x))

f (x) = \frac{1}{x - 1}, at x = 2

\frac{1}{s ( s + 8 )}

\int x^{x} (1 + ln (x)) d x

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

What is the derivative of t^3-1/(\sqrt[4]{t^7)} ?
The derivative of t^3-1/(\sqrt[4]{t^7)} is 3t^2+(7t^6)/(4(t^7)^{5/4)}
What is the first derivative of t^3-1/(\sqrt[4]{t^7)} ?
The first derivative of t^3-1/(\sqrt[4]{t^7)} is 3t^2+(7t^6)/(4(t^7)^{5/4)}