What is the d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) ?

The d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) is (2cos(2a){v}^2{R}(v))/({g)(v)}

What is the first d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) ?

The first d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) is (2cos(2a){v}^2{R}(v))/({g)(v)}

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\frac{d}{d a} ((R (v)) (\frac{v ^{2} sin ( 2 a )}{g ( v )}))

\frac{2 cos ( 2 a ) v ^{2} R ( v )}{g ( v )}

Solution steps

\frac{d}{d a} ((R (v)) (\frac{v ^{2} sin ( 2 a )}{g ( v )}))

Take the constant out:

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

= R (v) \frac{v ^{2}}{g ( v )} \frac{d}{d a} (sin (2 a))

Apply the chain rule:

cos (2 a) \frac{d}{d a} (2 a)

= cos (2 a) \frac{d}{d a} (2 a)

\frac{d}{d a} (2 a) = 2

= R (v) \frac{v ^{2}}{g ( v )} cos (2 a) \cdot 2

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 cos ( 2 a ) v ^{2} R ( v )}{g ( v )}

5 \times (- 5)

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

e^{2.6}

e^{2.8}

e^{1.8}

What is the d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) ?
The d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) is (2cos(2a){v}^2{R}(v))/({g)(v)}
What is the first d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) ?
The first d/(da)(({R}(v))(({v}^2sin(2a))/({g)(v)})) is (2cos(2a){v}^2{R}(v))/({g)(v)}