Differentiate y= (3x^2+2x-6)^8
This is an example of where we must use the chain rule:
Firstly as with simpler differentiation we multiply the function by the power then subtract 1 from the power to get:
8(3x^2+2x-6)^7
Then we must also multiply this by the differential of the function in the bracket which is 6x+2, to get:
dy/dx = 8(6x+2)(3x^2+2x-6)
OT
Related Maths A Level answers
All answers ▸Use integration by parts to find ∫ (x^2)sin(x) dx. (A good example of having to use the by parts formula twice.)
Solve the simultaneous equations x – 2y = 1 and x^2 + y^2 = 29.
Find dy/dx when y = (3x-1)^10
The sum of the first K natural numbers is 300. Find the value of K.