Question

Differentiate the following with respect to the variable: y=2\sin 50

Derivatives
ANSWERED
asked 2021-05-03
Differentiate the following with respect to the variable: \(\displaystyle{y}={2}{\sin{{50}}}\)

Answers (1)

2021-05-04
Step 1
Given that:
\(\displaystyle{y}={2}{\sin{{50}}}\)
Step 2
Apply chain rule of derivatives,
Differentiating  w.r.t.θ 
\(\displaystyle{y}'={\frac{{{d}}}{{{d}{0}}}}{\left({2}{\sin{{\left({50}\right)}}}\right)}\)
\(\displaystyle={2}{\frac{{{d}}}{{{d}{0}}}}{\sin{{\left({50}\right)}}}\)
\(\displaystyle={2}{\cos{{\left({50}\right)}}}{\frac{{{d}}}{{{d}{0}}}}{50}\)
\(\displaystyle={2}{\cos{{\left({50}\right)}}}\cdot{5}{\left({1}\right)}\)
\(\displaystyle{y}'={10}{\cos{{\left({50}\right)}}}\)
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