Step by step solution to "Find the derivatives of the functions y=5cot⁡x2" - Plainmath

Brennan Flores

Answered question

2021-10-18

Find the derivatives of the functions

y = 5 {\cot x}^{2}

Answer & Explanation

Ayesha Gomez

Skilled2021-10-19Added 104 answers

Step 1 Let us find the derivatives of the given function
Given:

y = 5 {\cot x}^{2}

Differentiation formula:

\frac{d}{d x} (\cot x) = - \cos e c^{2} x

\frac{d}{d x} (x^{n}) = n \cdot x^{n - 1}

Step 2

\frac{d}{d x} (5 {\cot x}^{2})

= 5 \frac{d}{d x} ({\cot x}^{2})

= 5 (- \cos e c^{2} x) \frac{d}{d x} (x^{2})

= - 5 \cos e c^{2} x \cdot (2 x)

= - 10 x \cdot \cos e c^{2} x

Step 3 Answer

\frac{d}{d x} (5 {\cot x}^{2}) = - 10 x \cdot \cos e c^{2} x

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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