What is the derivative of y(θ)=etan(θ) ?

The derivative of y(θ)=etan(θ) is esec^2(θ)

What is the first derivative of y(θ)=etan(θ) ?

The first derivative of y(θ)=etan(θ) is esec^2(θ)

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derivative of

y (θ) = e tan (θ)

e sec^{2} (θ)

Solution steps

\frac{d}{d θ} (e tan (θ))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= e \frac{d}{d θ} (tan (θ))

Apply the common derivative:

\frac{d}{d θ} (tan (θ)) = sec^{2} (θ)

= e sec^{2} (θ)

What is the derivative of y(θ)=etan(θ) ?
The derivative of y(θ)=etan(θ) is esec^2(θ)
What is the first derivative of y(θ)=etan(θ) ?
The first derivative of y(θ)=etan(θ) is esec^2(θ)