Differentiate Sin^2(X) with respect to X
'With respect to X' means we will be differentiating all the X parts (To put it simply). First we show that the differential of Sin(X) is Cos(X), we can show this graphically using the whiteboard. Then we should know from previous lessons that the differential of X^2 is 2X (We can show this with the formal definition of a differential using diagrams as aids). We then combine these two rules using a substitution for Sin(X) = U, still differentiating with respect to X (not U). Several lines of working and explaining will lead to the answer of 2Cos(x)Sin(x).
TH
Related Maths A Level answers
All answers ▸A particle P of mass 2 kg is held at rest in equilibrium on a rough plan. The plane is inclined to the horizontal at an angle of 20°. Find the coefficient of friction between P and the plane.
Given y= sqrt(x) + 4/sqrt(x) + 4 , find dy/dx when x=8 giving your answer in form Asqrt(2) where A is a rational number.
When trying to solve inequalities (e.g. 1/(x+2)>x/(x-3)) I keep getting the wrong solutions even though my algebra is correct.
What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?