Question

Derivative of cos ax and sin root x functions by first principal ..​

Answer 1

What is the differentiation of sin^3 by the use of the first principle? ... What is the derivative of tan (root x) by the first principle? ... How should I differentiate tan inverse (sin x + cos x )?.

Answer 2

We need a few results before we can find this derivative.

(A1) Limit of sin θ/θ as x → 0

First, we need this common and well-known limit.

First, we draw a graph of y = sin θ/θ and can see the limit of the function as θ approaches 0 is 1. (Of course there is a "hole" in the graph at θ = 0.)

sin theta over theta

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