What is the derivative of tan(e^{7t})+e^{tan(7t)} ?

The derivative of tan(e^{7t})+e^{tan(7t)} is sec^2(e^{7t})e^{7t}*7+e^{tan(7t)}sec^2(7t)*7

What is the first derivative of tan(e^{7t})+e^{tan(7t)} ?

The first derivative of tan(e^{7t})+e^{tan(7t)} is sec^2(e^{7t})e^{7t}*7+e^{tan(7t)}sec^2(7t)*7

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derivative of

tan (e^{7 t}) + e^{t a n (7 t)}

sec^{2} (e^{7 t}) e^{7 t} \cdot 7 + e^{t a n (7 t)} sec^{2} (7 t) \cdot 7

Solution steps

\frac{d}{d t} (tan (e^{7 t}) + e^{t a n (7 t)})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (tan (e^{7 t})) + \frac{d}{d t} (e^{t a n (7 t)})

\frac{d}{d t} (tan (e^{7 t})) = sec^{2} (e^{7 t}) e^{7 t} \cdot 7

\frac{d}{d t} (e^{t a n (7 t)}) = e^{t a n (7 t)} sec^{2} (7 t) \cdot 7

= sec^{2} (e^{7 t}) e^{7 t} \cdot 7 + e^{t a n (7 t)} sec^{2} (7 t) \cdot 7

n = 0 \sum \infty 2 + e^{- 3 n}

\frac{d}{d x} (- 2 x cos (x))

\frac{\partial}{\partial x} (8 - 3 x^{2} - y^{2})

\int \frac{x ^{2} + 2 x - 6}{x ^{3} - x} d x

d er i v a t i v e (x^{2})^{2}

What is the derivative of tan(e^{7t})+e^{tan(7t)} ?
The derivative of tan(e^{7t})+e^{tan(7t)} is sec^2(e^{7t})e^{7t}*7+e^{tan(7t)}sec^2(7t)*7
What is the first derivative of tan(e^{7t})+e^{tan(7t)} ?
The first derivative of tan(e^{7t})+e^{tan(7t)} is sec^2(e^{7t})e^{7t}*7+e^{tan(7t)}sec^2(7t)*7