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

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

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

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

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derivative of

e^{t a n (5 t)}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

(e^{f (x)})^{'}

\frac{d}{d x} ((\frac{x ^{2} + 2 x}{x + 1})^{5})

\frac{d}{d x} (9 ln (cos (x)))

\int sin^{3} (2 x) cos (2 x) d x

\frac{d}{d x} ((4 x^{2} - \frac{1}{2} x) (9 x + 8))

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