What is the derivative of y(θ)=e^{tan(θ)} ?

The derivative of y(θ)=e^{tan(θ)} is e^{tan(θ)}sec^2(θ)

What is the first derivative of y(θ)=e^{tan(θ)} ?

The first derivative of y(θ)=e^{tan(θ)} is e^{tan(θ)}sec^2(θ)

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derivative of

y (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)

y = 2 - x^{2}, y = x

x \to - 2 lim (\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}})

\frac{6 x}{x ^{2} + 2}

\frac{d y}{d x} = \frac{1}{x 16 x ^{2} - 1}

f (x) = (x^{2} - 4) (x + 1)

What is the derivative of y(θ)=e^{tan(θ)} ?
The derivative of y(θ)=e^{tan(θ)} is e^{tan(θ)}sec^2(θ)
What is the first derivative of y(θ)=e^{tan(θ)} ?
The first derivative of y(θ)=e^{tan(θ)} is e^{tan(θ)}sec^2(θ)