Need Calculus Homework Help!

[Seadoo12]

Find h'(t) if h(t)=(7)/t^(1/4)-(6)/t^(2/5)

h'(t)=


This problem is in my review packet. Any help/assistance would be great.

Thanks

 

[mathmari]

Find h'(t) if h(t)=(7)/t^(1/4)-(6)/t^(2/5)

h'(t)=


This problem is in my review packet. Any help/assistance would be great.

Thanks

\(\displaystyle h(t)=\frac{7}{t^{\frac{1}{4}}}-\frac{6}{t^{\frac{2}{5}}}=7 \cdot t^{-\frac{1}{4}}-6 \cdot t^{-\frac{2}{5}} \)
\(\displaystyle h'(t)= 7 \cdot (-\frac{1}{4}) \cdot t^{-\frac{1}{4}-1}-6 \cdot (-\frac{2}{5})\cdot t^{-\frac{2}{5}-1}=-\frac{7}{4} \cdot t^{-\frac{5}{4}}+\frac{12}{5} \cdot t^{-\frac{7}{5}}= -\frac{7}{4} \cdot \frac{1}{t^{\frac{5}{4}}}+\frac{12}{5} \cdot \frac{1}{t^{\frac{7}{5}}}\)