Derivative of Cos

Trigonometry is a branch of mathematics that is used to show the relation between the angles of triangle to the lengths of sides of a triangle. In trigonometry we will study the different types of derivatives but here we will see the Derivative of Cos. Now we will see the how to find the derivative of cos (s). The derivative of cos (s) is mention below:
Cos (s) = - sin (s); Now the prove of derivative of cos (s);
First we write the cos (s) in the derivative form:
d / ds cos (s) = - sin (s);
Here we have to apply the chain rule to find the derivative of cos (s).
In mathematics, Chain rule is used to differentiating compositions of functions. The chain rule is given by: D f (g(s)) = f’ (g (s)) g’(s); on applying we can write it as:
→ cos (s) = sin (s + π / 2); in the derivative form we can write it as:
→ d / ds cos (s) = d / ds sin (s + π / 2); On further solving the derivative we get:
→ d / ds sin (u) * d / ds ( s + π / 2) (put u = s + π / 2);
We know that differentiation of sin s = cos s, so put in the above expression.
= cos (u) * 1 = cos (s + π / 2);
On further solving we get – sin (s). This is how to solve the derivative of cos (s). And also there are different ways to Solving Equations with Fractions. We know that any number that is written in the form of i/o is known as fraction. Before entering in the examination hall please focus on icse sample papers 2013 so that we can easily face the problem which is occur in the exam and In the next session we will discuss about Derivative of Tanx.
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