How to find the derivative of sqrt(x) from first principles?
Graphical explanation leading to the expression that we need to develop (Lim(a->0) (sqrt(x+a) - sqrt(a))/(a). Then we need to understand how to rearrange a fraction involving square roots (multiplication by sqrt(a+x) + sqrt(a) on the nominator and denominator). Calculation of limits to get 1/2sqrt(x).
OD
Related Maths IB answers
All answers ▸Consider the arithmetic sequence 5,7,9,11, …. Derive a formula for (i) the nth term and (ii) the sum to n terms. (iii) Hence find the sum of the first 20 terms.
Solve the equation sec^2 x+ 2tan x = 0, 0 ≤ x ≤ 2π. IB May 2017 Exam
The sum of the first n terms of an arithmetic sequence is Sn=3n^2 - 2n. How can you find the formula for the nth term un in terms of n?
How can we calculate the maximum and minimum points of a function?