What is the derivative of tan(e^{3t})+e^{tan(3t)} ?

The derivative of tan(e^{3t})+e^{tan(3t)} is sec^2(e^{3t})e^{3t}*3+e^{tan(3t)}sec^2(3t)*3

What is the first derivative of tan(e^{3t})+e^{tan(3t)} ?

The first derivative of tan(e^{3t})+e^{tan(3t)} is sec^2(e^{3t})e^{3t}*3+e^{tan(3t)}sec^2(3t)*3

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derivative of

tan (e^{3 t}) + e^{t a n (3 t)}

sec^{2} (e^{3 t}) e^{3 t} \cdot 3 + e^{t a n (3 t)} sec^{2} (3 t) \cdot 3

Solution steps

\frac{d}{d t} (tan (e^{3 t}) + e^{t a n (3 t)})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (tan (e^{3 t})) + \frac{d}{d t} (e^{t a n (3 t)})

\frac{d}{d t} (tan (e^{3 t})) = sec^{2} (e^{3 t}) e^{3 t} \cdot 3

\frac{d}{d t} (e^{t a n (3 t)}) = e^{t a n (3 t)} sec^{2} (3 t) \cdot 3

= sec^{2} (e^{3 t}) e^{3 t} \cdot 3 + e^{t a n (3 t)} sec^{2} (3 t) \cdot 3

f (x) = 7 e^{x} cos (x)

x \to 2 lim (7 - x)

\int_{1}^{\infty} x^{- \frac{1}{3}} d x

\frac{d}{d t} (- e^{- 4 t} + 4 t e^{- 4 t})

\frac{( z + 2 )}{z ^{2}}

What is the derivative of tan(e^{3t})+e^{tan(3t)} ?
The derivative of tan(e^{3t})+e^{tan(3t)} is sec^2(e^{3t})e^{3t}*3+e^{tan(3t)}sec^2(3t)*3
What is the first derivative of tan(e^{3t})+e^{tan(3t)} ?
The first derivative of tan(e^{3t})+e^{tan(3t)} is sec^2(e^{3t})e^{3t}*3+e^{tan(3t)}sec^2(3t)*3