411 REFERENCE · Wikibooks
High School Mathematics Extensions/Supplementary/Differentiation/Solutions
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Differentiate from first principle
1. (We know that if then )
2.
3.
4.
5. if
f(x)=g(x)+h(x)
then
Differentiating f(z) = (1 - z)^n
1.
2.
3.
4.
Differentiation technique
1.
We use the result of the differentation of f(z)=(1-z)^n (f'(z) = -n(1-z)n-1)
2.
3.
We use the result of exercise 3 of the previous section f(z)= (1+z)3 -> f'(z)=3(1+z)^2
4.
We use the result of the differentation of f(z)=(1-z)^n (f'(z) = -n(1-z)n-1)