What is the d/(dθ)(({r}(θ))(sec(θ))) ?

The d/(dθ)(({r}(θ))(sec(θ))) is d/(dθ)({r}(θ))sec(θ)+sec(θ)tan(θ){r}(θ)

What is the first d/(dθ)(({r}(θ))(sec(θ))) ?

The first d/(dθ)(({r}(θ))(sec(θ))) is d/(dθ)({r}(θ))sec(θ)+sec(θ)tan(θ){r}(θ)

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\frac{d}{d θ} ((r (θ)) (sec (θ)))

\frac{d}{d θ} (r (θ)) sec (θ) + sec (θ) tan (θ) r (θ)

Solution steps

\frac{d}{d θ} ((r (θ)) (sec (θ)))

Apply the Product Rule:

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

f = r (θ), g = sec (θ)

= \frac{d}{d θ} (r (θ)) sec (θ) + \frac{d}{d θ} (sec (θ)) r (θ)

\frac{d}{d θ} (sec (θ)) = sec (θ) tan (θ)

= \frac{d}{d θ} (r (θ)) sec (θ) + sec (θ) tan (θ) r (θ)

x^{3} + 3 x + (- 10)

5 a^{(3)} - 2 a x^{(2)} + 2 x^{(3)}

2 (x + 1) - 3 (x - 2)

8 x + x z - 144 y - 18 yz

b^{(2)} - 6 a + c + 1

What is the d/(dθ)(({r}(θ))(sec(θ))) ?
The d/(dθ)(({r}(θ))(sec(θ))) is d/(dθ)({r}(θ))sec(θ)+sec(θ)tan(θ){r}(θ)
What is the first d/(dθ)(({r}(θ))(sec(θ))) ?
The first d/(dθ)(({r}(θ))(sec(θ))) is d/(dθ)({r}(θ))sec(θ)+sec(θ)tan(θ){r}(θ)