What is the derivative of be^θ ?

The derivative of be^θ is e^θ

What is the first derivative of be^θ ?

The first derivative of be^θ is e^θ

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derivative of

b e^{θ}

e^{θ}

Solution steps

\frac{d}{d b} (b e^{θ})

Treat

θ

as a constant

Take the constant out:

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

= e^{θ} \frac{d b}{d b}

Apply the common derivative:

\frac{d b}{d b} = 1

= e^{θ} \cdot 1

Simplify

= e^{θ}

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