What is the d/(dθ)(e^{tan(θ)}) ?

The d/(dθ)(e^{tan(θ)}) is e^{tan(θ)}sec^2(θ)

What is the first d/(dθ)(e^{tan(θ)}) ?

The first d/(dθ)(e^{tan(θ)}) is e^{tan(θ)}sec^2(θ)

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\frac{d}{d θ} (e^{t a n (θ)})

e^{t a n (θ)} sec^{2} (θ)

Solution steps

\frac{d}{d θ} (e^{t a n (θ)})

Apply the chain rule:

e^{t a n (θ)} \frac{d}{d θ} (tan (θ))

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

\frac{d}{d θ} (tan (θ)) = sec^{2} (θ)

= e^{t a n (θ)} sec^{2} (θ)

\int_{0}^{1} \frac{y}{e ^{5 y}} d y

\int (2 x x - \frac{1}{x}) d x

3 y^{^{''}} - 11 y^{^{'}} + 10 y = 0, y (0) = 8, y^{^{'}} (0) = - 4

\int (e^{4 x} - e^{- 4 x})^{2} d x

\int \frac{5}{6} csc^{2} (\frac{x}{6}) d x

What is the d/(dθ)(e^{tan(θ)}) ?
The d/(dθ)(e^{tan(θ)}) is e^{tan(θ)}sec^2(θ)
What is the first d/(dθ)(e^{tan(θ)}) ?
The first d/(dθ)(e^{tan(θ)}) is e^{tan(θ)}sec^2(θ)