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Popular >

derivative of sin(θ)+cos(θ)θ

Solution

derivative of

sin (θ) + cos (θ) θ

Solution

- θ sin (θ) + 2 cos (θ)

Solution steps

\frac{d}{d θ} (sin (θ) + cos (θ) θ)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d θ} (sin (θ)) + \frac{d}{d θ} (cos (θ) θ)

\frac{d}{d θ} (sin (θ)) = cos (θ)

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

= cos (θ) - θ sin (θ) + cos (θ)

Simplify

= - θ sin (θ) + 2 cos (θ)

Graph

Popular Examples

integral of (x^2)/(1-x)

\int \frac{x ^{2}}{1 - x} d x

integral of (4u)/(16u^2+7)

\int \frac{4 u}{16 u ^{2} + 7} d u

derivative of e^{9xsin(2x})

\frac{d}{d x} (e^{9 x s i n (2 x)})

sum from n=1 to infinity of (cos(n))/(n^5)

n = 1 \sum \infty \frac{cos ( n )}{n ^{5}}

derivative of log_{10}((x^2+1^2))

\frac{d}{d x} (lo g_{10} ((x^{2} + 1)^{2}))

Frequently Asked Questions (FAQ)

What is the derivative of sin(θ)+cos(θ)θ ?
The derivative of sin(θ)+cos(θ)θ is -θsin(θ)+2cos(θ)
What is the first derivative of sin(θ)+cos(θ)θ ?
The first derivative of sin(θ)+cos(θ)θ is -θsin(θ)+2cos(θ)