What is the derivative of h(t)=t^{3/4}-4t^{1/4} ?

The derivative of h(t)=t^{3/4}-4t^{1/4} is 3/(4t^{1/4)}-1/(t^{3/4)}

What is the first derivative of h(t)=t^{3/4}-4t^{1/4} ?

The first derivative of h(t)=t^{3/4}-4t^{1/4} is 3/(4t^{1/4)}-1/(t^{3/4)}

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d t} (\frac{2}{t})

\frac{1}{3} (16 + x^{2})^{3}

\int tan^{4} (x) sec^{8} (x) d x

\int \frac{x - 4}{x ^{2} - 5 x + 6} d x

x \to - 2 lim (\frac{5}{x ^{2}})

What is the derivative of h(t)=t^{3/4}-4t^{1/4} ?
The derivative of h(t)=t^{3/4}-4t^{1/4} is 3/(4t^{1/4)}-1/(t^{3/4)}
What is the first derivative of h(t)=t^{3/4}-4t^{1/4} ?
The first derivative of h(t)=t^{3/4}-4t^{1/4} is 3/(4t^{1/4)}-1/(t^{3/4)}