What is the derivative of tan(e^{5t})+e^{tan(5t)} ?

The derivative of tan(e^{5t})+e^{tan(5t)} is sec^2(e^{5t})e^{5t}*5+e^{tan(5t)}sec^2(5t)*5

What is the first derivative of tan(e^{5t})+e^{tan(5t)} ?

The first derivative of tan(e^{5t})+e^{tan(5t)} is sec^2(e^{5t})e^{5t}*5+e^{tan(5t)}sec^2(5t)*5

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derivative of

tan (e^{5 t}) + e^{t a n (5 t)}

sec^{2} (e^{5 t}) e^{5 t} \cdot 5 + e^{t a n (5 t)} sec^{2} (5 t) \cdot 5

Solution steps

\frac{d}{d t} (tan (e^{5 t}) + e^{t a n (5 t)})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (tan (e^{5 t})) + \frac{d}{d t} (e^{t a n (5 t)})

\frac{d}{d t} (tan (e^{5 t})) = sec^{2} (e^{5 t}) e^{5 t} \cdot 5

\frac{d}{d t} (e^{t a n (5 t)}) = e^{t a n (5 t)} sec^{2} (5 t) \cdot 5

= sec^{2} (e^{5 t}) e^{5 t} \cdot 5 + e^{t a n (5 t)} sec^{2} (5 t) \cdot 5

k = 2 \sum \infty \frac{3}{2 ^{k}}

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

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

\int e^{500 x} d x

\frac{d}{d x} (sin (5))

What is the derivative of tan(e^{5t})+e^{tan(5t)} ?
The derivative of tan(e^{5t})+e^{tan(5t)} is sec^2(e^{5t})e^{5t}*5+e^{tan(5t)}sec^2(5t)*5
What is the first derivative of tan(e^{5t})+e^{tan(5t)} ?
The first derivative of tan(e^{5t})+e^{tan(5t)} is sec^2(e^{5t})e^{5t}*5+e^{tan(5t)}sec^2(5t)*5