How to differentiate y=2x(x-2)^5 to find dy/dx?
Firstly, you should formulate the problem by using the product rule, which is: dy/dx = u'v + v'uBy assigning u=2x and v=(x-2)5 , the terms u' and v' can be obtained knowing that u' simply means differentiation of u with respect to x and v' is the differential of v with respect to x.u' = 2;v' = 51(x-2)^4Combining the terms, dy/dx = 2(x-2)5 + 10x(x-2)4 which is in its simplest form and provides the answer for subsequent question parts.
AP
Related Maths A Level answers
All answers ▸Why is the derivative of 2^x not x*2^(x-1)?
Given that y=sin2x(3x-1)^4, find dy/dx
Find the volume of revolution when the curve defined by y=xe^(2x) is rotated 2*pi radians about the x-axis between x=0 and x=1
What is the equation of the tangent to the curve y=x^3+3x^2+2 when x=2