If y = 2x - sin2x, find dy/dx when x = π/4
...If y = 2x - sin2x, find dy/dx when x = π/4
π
-π
π/2
-π/2
Correct answer is D
y = 2x cos2x - sin2x
dy/dx = 2 cos2x +(-2x sin2x) - 2 cos2x
= 2 cos2x - 2x sin2x - cos2x
= -2x sin2x
= -2 x (π/4) sin2 x (π/4)
= -(π/2) x 1 = -(π/2)
For what value of x is the expression \(\frac{2x-1}{x+3}\)not defined?...
Simplify 81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)...
One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers. ...
In the diagram O is the centre of the circle. Which of the following is/are not true? I. a = b I...
Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)...
A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. C...