Step by step solution to "Find the derivatives without using product or quotient..."

feminizmiki

Answered question

2021-12-08

Find the derivatives without using product or quotient rules.

y = (\frac{π}{2}) \sin (θ) - \cos (θ)

Jim Hunt

Beginner2021-12-09Added 45 answers

Step 1
Given a function in x,

f (x) = \frac{π}{2} \sin θ \sin θ - \cos θ

Step 2
To find the derivative of the function,
Note: The derivative of the trigonometric function in the question is as follows:

\frac{d}{d x} (\sin x) = \cos x

\frac{d}{d x} (\cos x) = - \sin x

Step 3
We differentiate the function,

\frac{d}{d x} (f (x)) = \frac{d}{d x} (\frac{π}{2} \sin θ - \cos θ)

= \frac{π}{2} \frac{d}{d x} (\sin θ) - \frac{d}{d x} (\cos θ)

= \frac{π}{2} \cos θ + \sin θ

Step 4
Answer:
Derivative of the given function is

\frac{π}{2} \cos θ + \sin θ

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