Find the derivative with respect to x and the x-coordinate of the stationary point of: y=(4x^2+1)^5
y=(4x^2+1)^5 y=u^5 u=4x^2+1
y’=5u^4 (wrt u) u’=8x
y’=40x(4x^2+1)^4
y’=40x(4x^2+1)^4=0 x=0 (x^2+1>0)
EB
Related Maths A Level answers
All answers ▸Differentiate 2x/cos(x)
Use the substitution u=3+(x+4)^1/2 to find the integral of 1/(3+(x+4)^1/2) dx between 0 and 5.
For rectangles of area 100 m^2 what is the perimeter of the rectangle with the smallest perimeter?
Find the max/min value of the function: f(x) = 5x^2 - 20x + 15