For some constants a and b, find the derivative of (x − a) (x − b)

Asked by Pragya Singh | 1 year ago |  102

##### Solution :-

Let f (x) = (x – a) (x – b)

$$f(x)=x^2-(a+b)+ab$$

$$f'(x)=\dfrac{d}{dx}(x^2-(a+b)x+ab)$$

$$\dfrac{d}{dx}(x)^2-(a+b)\dfrac{d}{dx}(x)+\dfrac{d}{dx}(ab)$$

On using theorem $$\dfrac{d}{dx}(x^n)=nx^{n-1}$$, we obtain

$$f'(x)=2x-(a+b)+0$$

=2x-a-b

Answered by Abhisek | 1 year ago

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