What is the derivative of tan(e^{8t})+e^{tan(8t)} ?

The derivative of tan(e^{8t})+e^{tan(8t)} is sec^2(e^{8t})e^{8t}*8+e^{tan(8t)}sec^2(8t)*8

What is the first derivative of tan(e^{8t})+e^{tan(8t)} ?

The first derivative of tan(e^{8t})+e^{tan(8t)} is sec^2(e^{8t})e^{8t}*8+e^{tan(8t)}sec^2(8t)*8

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derivative of

tan (e^{8 t}) + e^{t a n (8 t)}

sec^{2} (e^{8 t}) e^{8 t} \cdot 8 + e^{t a n (8 t)} sec^{2} (8 t) \cdot 8

Solution steps

\frac{d}{d t} (tan (e^{8 t}) + e^{t a n (8 t)})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (tan (e^{8 t})) + \frac{d}{d t} (e^{t a n (8 t)})

\frac{d}{d t} (tan (e^{8 t})) = sec^{2} (e^{8 t}) e^{8 t} \cdot 8

\frac{d}{d t} (e^{t a n (8 t)}) = e^{t a n (8 t)} sec^{2} (8 t) \cdot 8

= sec^{2} (e^{8 t}) e^{8 t} \cdot 8 + e^{t a n (8 t)} sec^{2} (8 t) \cdot 8

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What is the derivative of tan(e^{8t})+e^{tan(8t)} ?
The derivative of tan(e^{8t})+e^{tan(8t)} is sec^2(e^{8t})e^{8t}*8+e^{tan(8t)}sec^2(8t)*8
What is the first derivative of tan(e^{8t})+e^{tan(8t)} ?
The first derivative of tan(e^{8t})+e^{tan(8t)} is sec^2(e^{8t})e^{8t}*8+e^{tan(8t)}sec^2(8t)*8