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Popular >

d/(dθ)(({r}(θ))(1-2θ))

Solution

\frac{d}{d θ} ((r (θ)) (1 - 2 θ))

Solution

\frac{d}{d θ} (r (θ)) (1 - 2 θ) - 2 r (θ)

Solution steps

\frac{d}{d θ} ((r (θ)) (1 - 2 θ))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = r (θ), g = 1 - 2 θ

= \frac{d}{d θ} (r (θ)) (1 - 2 θ) + \frac{d}{d θ} (1 - 2 θ) r (θ)

\frac{d}{d θ} (1 - 2 θ) = - 2

= \frac{d}{d θ} (r (θ)) (1 - 2 θ) + (- 2) r (θ)

Simplify

= \frac{d}{d θ} (r (θ)) (1 - 2 θ) - 2 r (θ)

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Frequently Asked Questions (FAQ)

What is the d/(dθ)(({r}(θ))(1-2θ)) ?
The d/(dθ)(({r}(θ))(1-2θ)) is d/(dθ)({r}(θ))(1-2θ)-2{r}(θ)
What is the first d/(dθ)(({r}(θ))(1-2θ)) ?
The first d/(dθ)(({r}(θ))(1-2θ)) is d/(dθ)({r}(θ))(1-2θ)-2{r}(θ)