Derivative, how to get the derivative of a root? example: √5x-6

To find the derivative of a square root, you will just need to consider the expression under the square root as a whole term, or in calculus, as a variable called 'u.'

In this case, our expression is: √(5x-6)

Let u = 5x - 6

du = 5

d/du (√u) = du * 0.5 * u^(-1/2)

Substitute back for u:

d/dx (√u) = 5 * 0.5 * (5x - 6)^(-1/2)

d/dx (√u) = 2.5/√(5x - 6)

Hope this helped!

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls