Find the derivative of the functions: sin x cos x

Asked by Abhisek | 1 year ago |  46

#### 1 Answer

##### Solution :-

$$f'(x)=\lim\limits_{h \to 0}\dfrac{f(x+h)-f(x)}{h}$$

$$\lim\limits_{h \to 0} \dfrac{1}{2h}[cos\dfrac{4x+2h}{2}.sin\dfrac{2h}{2}]$$

$$\lim\limits_{h \to 0} \dfrac{1}{2h}[cos(2x+h)sinh]$$

$$\lim\limits_{h \to 0}[cos(2x+h). \lim\limits_{h \to 0}\dfrac{sinh}{h}$$

$$cos(2x+h).1$$

= cos2x

Answered by Pragya Singh | 1 year ago

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