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Popular >

d/(dθ)(({x}(θ))(3(1-cos(θ))))

Solution

\frac{d}{d θ} ((x (θ)) (3 (1 - cos (θ))))

Solution

3 (\frac{d}{d θ} (x (θ)) (1 - cos (θ)) + sin (θ) x (θ))

Solution steps

\frac{d}{d θ} ((x (θ)) (3 (1 - cos (θ))))

Take the constant out:

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

= 3 \frac{d}{d θ} (x (θ) (1 - cos (θ)))

Apply the Product Rule:

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

f = x (θ), g = 1 - cos (θ)

= 3 (\frac{d}{d θ} (x (θ)) (1 - cos (θ)) + \frac{d}{d θ} (1 - cos (θ)) x (θ))

\frac{d}{d θ} (1 - cos (θ)) = sin (θ)

= 3 (\frac{d}{d θ} (x (θ)) (1 - cos (θ)) + sin (θ) x (θ))

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Frequently Asked Questions (FAQ)

What is the d/(dθ)(({x}(θ))(3(1-cos(θ)))) ?
The d/(dθ)(({x}(θ))(3(1-cos(θ)))) is 3(d/(dθ)({x}(θ))(1-cos(θ))+sin(θ){x}(θ))
What is the first d/(dθ)(({x}(θ))(3(1-cos(θ)))) ?
The first d/(dθ)(({x}(θ))(3(1-cos(θ)))) is 3(d/(dθ)({x}(θ))(1-cos(θ))+sin(θ){x}(θ))