Differentiate the following function u = Cos(x3)
u = Cos(x3)
To differentiate this function we will use the chain rule. Firstly we will set x3 to another variable name such as v. So now v = x3 . Lets differentiate this. dv/dx = 3x2
We can now differentiate cos(v) du/dv = -sin(v). Now to complete the chain rule we must do dv/dx*du/dv. Which will be -sin(v)*3x2 = -3x2sin(v). Now we can just put the x3 back in instead of the v and our final answer will be -3x2sin( x3).
SB
Related Maths A Level answers
All answers ▸Find the x coordinate of the minimum point of the curve y = e3x - 6e2x + 32.
Integral of (2(x^3)-7)/((x^4)-14x)
differentiate with respect to x: (x^3)(e^x)
The first three terms of an arithmetic series are p, 5p – 8, and 3p + 8 respectively. (a) Show that p=4 (b) Find the value of the 50th term in the series.