Differentiate The Following function
Find dy/dx where y = (x2+7)1/2
=> 1/2(x2+7)-1/2 * d/dx(x2+7) By the chain rule
=> 1/2(x2+7)-1/2 * 2x
=> x(x2+7)-1/2
Remember that x1/2 = sqrt(x) and x-1 = 1/x
=> x/sqrt(x2+7)
KM
Related Maths A Level answers
All answers ▸The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).
A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.
The line AB has equation 5x + 3y + 3 = 0 and it intersects the line with equation 3x - 2y + 17 = 0 at the point B. Find the coordinates of B.
Integrate y with respect to x, where y = cos(x)/[1+tan^2(x)]