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A day full of math games & activities. Find one near you.
Differentiate the function with respect to x. 2√cot(x2)
Solution:
A derivative helps us to know the changing relationship between two variables. Consider the independent variable 'x' and the dependent variable 'y'.
Let f(x) = 2√cot(x2)
⇒ d/dx [2√cot (x2)]
By using chain rule of derivative, we get
= 2.1/2 √cot (x2) × d/dx [cot (x2)]
= √sin (x2) / cos (x2) × − cosec2 (x2) × d/dx (x2)
= √sin (x2) cos (x2) × − sin2(x2) × (2x)
= −2x / sinx2 √cos x2 sin x2
= −2√2 x / sin x2 √2 sin x2 cos x2
⇒ d/dx [2√cot (x2)] = −2√2 x / sin x2 √sin 2x2
NCERT Solutions Class 12 Maths - Chapter 5 Exercise 5.2 Question 7
Differentiate the function with respect to x. 2√cot(x2)
Summary:
The derivative of the function with respect to x of 2√cot (x2) is −2√2 x / sin x2 √sin 2x2
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