-X Sin X + Cos x EXERCISE 8 1 Find the derivative by first principle in exampla to (8) - Maths -

Question

-X Sin X + Cos x EXERCISE 8 1 Find the derivative by first
principle in exampla to (8) (3) 2x+3 2x 3x +2, find ft-2) fron br )
If f principle

Ranjith Kumar Sonaboina · Accepted Answer

Dear student,
The first principle of derivative is given by
f'(x)
=Lth-0f(x+h)-f(x)hf(x+h)-f(x)=12(x+h)+3-12x+3=2x+3-2(x+h)-3(2x+3)(2(x+h)+3)                      =-2h(2x+3)(2(x+h)+3)f(x+h)-f(x)h=-2(2x+3)(2(x+h)+3)for h tends to 0                      =-2(2x+3)2
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regards,