Let y= array l ( x+ 2 x+ 3 x)^ 2 +( x+ 2 x+ 3 x)^ 2 array then which of the following is…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let \[y=\sqrt{\begin{array}{l}
(\sin x+\sin 2 x+\sin 3 x)^{2} \\
+(\cos x+\cos 2 x+\cos 3 x)^{2}
\end{array}}\] then which of the following is correct ?
- \(\frac{d y}{d x} \text { when } x=\frac{\pi}{2} \text { is }-2\)
- value of y when \(x=\frac{\pi}{5} \text { is } \frac{3+\sqrt{5}}{2}\)
- value of y when \(\mathrm{x}=\frac{\pi}{12} \text { is } \frac{\sqrt{1}+\sqrt{2}+\sqrt{3}}{2}\)
- y simplifies to (1 + 2 cos x) in [0, π]
Answer
(A) d y d x when x= 2 is -2, (B) value of y when x= 5 is 3+ 5 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f(x)= array cc 0, & x x
- Let a ∈ R and let f : R → R be given by f ( x ) = x 5 – 5 x + a . Then
- _ h 0 f (2 h+2+h^ 2 )-f(2) f (h-h^ 2 +1 )-f(1) , given that f ′(2) = 6 and f ′(1) = 4
- Let f : ℝ → ℝ and g : ℝ → ℝ be functions satisfying f ( x + y ) = f ( x ) + f ( y ) + f ( x ) f ( y ) and f (…
- The function f ( x ) = 1 + |sin x | is
- If sin y = x sin (a + y), then dy dx is
- Let f(x)= x x^ 2 , x>0 Let x 1 x 2 x 3 ..... x n f and y 1 y 2 y 3 y n f . Then which of the following…
- Suppose we define the definite integral using the following formula _ a ^ b f(x) d x= for more accurate…
More Limit, Continuity and Differentiability questions · Browse all practice questions