What is the derivative of f(θ)=sqrt(5θ) ?

The derivative of f(θ)=sqrt(5θ) is (sqrt(5))/(2sqrt(θ))

What is the first derivative of f(θ)=sqrt(5θ) ?

The first derivative of f(θ)=sqrt(5θ) is (sqrt(5))/(2sqrt(θ))

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derivative of

f (θ) = 5 θ

\frac{5}{2 θ}

Solution steps

\frac{d}{d θ} (5 θ)

Apply the chain rule:

\frac{1}{2 5 θ} \frac{d}{d θ} (5 θ)

= \frac{1}{2 5 θ} \frac{d}{d θ} (5 θ)

\frac{d}{d θ} (5 θ) = 5

= \frac{1}{2 5 θ} \cdot 5

Simplify

\frac{1}{2 5 θ} \cdot 5 : \frac{5}{2 θ}

= \frac{5}{2 θ}

What is the derivative of f(θ)=sqrt(5θ) ?
The derivative of f(θ)=sqrt(5θ) is (sqrt(5))/(2sqrt(θ))
What is the first derivative of f(θ)=sqrt(5θ) ?
The first derivative of f(θ)=sqrt(5θ) is (sqrt(5))/(2sqrt(θ))