Find the derivative of the functions: 5 sin x – 6 cos x + 7

Asked by Abhisek | 1 year ago |  90

#### 1 Answer

##### Solution :-

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

$$\lim\limits_{h \to 0} \dfrac{1}{h}[5sin(x+h)$$

$$-6cos(x+h)+7-5sinx+6cosx-7]$$

$$5 \lim\limits_{h \to 0} \dfrac{1}{h}[sin(x+h)-sinx]$$

$$6 \lim\limits_{h \to 0} \dfrac{1}{h} [cos(x+h)-cosx]$$

$$5cosx.1-6[(cosx).(0)-sinx.1]$$

$$5cosx+6sinx$$

Answered by Pragya Singh | 1 year ago

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