Differentiate: y = sin(2x).
Using the chain rule with u = 2x:
y = sin(2x) becomes y = sin(u)
dy/dx = dy/du * du/dx
dy/du = cos(u)
du/dx = 2
So dy/dx = dy/du * du/dx = 2 cos(u).
SB
Related Maths A Level answers
All answers ▸Find the values of x such that: (log3(81)+log2(32))/(log2(x)) = log2(x) (5 marks)
In the triangle ABC, AB = 16 cm, AC = 13 cm, angle ABC = 50 and angle BCA= x Find the two possible values for x, giving your answers to one decimal place.
Solve the equation d/dx((x^3 + 3x^2)ln(x)) = 2x^2 + 5x, leaving your answer as an exact value of x. [6 marks]
Find the area under the curve y=xsin(x), between the limits x=-pi/2 and x=pi/2.