What is the derivative of f(θ)=sqrt(3θ) ?

The derivative of f(θ)=sqrt(3θ) is (sqrt(3))/(2sqrt(θ))

What is the first derivative of f(θ)=sqrt(3θ) ?

The first derivative of f(θ)=sqrt(3θ) is (sqrt(3))/(2sqrt(θ))

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derivative of

f (θ) = 3 θ

\frac{3}{2 θ}

Solution steps

\frac{d}{d θ} (3 θ)

Apply the chain rule:

\frac{1}{2 3 θ} \frac{d}{d θ} (3 θ)

= \frac{1}{2 3 θ} \frac{d}{d θ} (3 θ)

\frac{d}{d θ} (3 θ) = 3

= \frac{1}{2 3 θ} \cdot 3

Simplify

\frac{1}{2 3 θ} \cdot 3 : \frac{3}{2 θ}

= \frac{3}{2 θ}

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What is the derivative of f(θ)=sqrt(3θ) ?
The derivative of f(θ)=sqrt(3θ) is (sqrt(3))/(2sqrt(θ))
What is the first derivative of f(θ)=sqrt(3θ) ?
The first derivative of f(θ)=sqrt(3θ) is (sqrt(3))/(2sqrt(θ))