Derivatives involving other trigonometric functions Find the derivative of the f

Alyce Wilkinson

Alyce Wilkinson

Answered question

2021-10-12

Derivatives involving other trigonometric functions Find the derivative of the following functions.
y=csc2θ1

Answer & Explanation

un4t5o4v

un4t5o4v

Skilled2021-10-13Added 105 answers

Step 1
To differentiate: y=csc2θ1
Solution:
y=csc2θ1
Differentiating both sides w.r.t θ we get:
dydθ=ddθ(csc2θ1)
dydθ=(2cscθ)ddθ(cscθ)0 (using, ddx(f(g(x))=f(g(x))g(x)))
dydθ=(2cscθ)(cscθcotθ) (using, ddx(cscx)cotxcscx)
dydθ=2csc2θcotθ
Step 2
Result:
dydθ=2csc2θcotθ

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