Find the derivative of the functions from first principle (x – 1) (x – 2)
\( f'(x)=\lim\limits_{h \to 0}\dfrac{f(x+h)-f(x)}{h}\)
\(\lim\limits_{h \to 0}\dfrac{(hx+hx+h^2-2h-h)}{h}\)
\( \lim\limits_{h \to 0}\dfrac{2hx+h^2-3h}{h}\)
\( \lim\limits_{h \to 0}(2x+h-3)\)
= 2x-3
Differentiate with respect to x xn loga x
Differentiate with respect to x xn tan x
Differentiate with respect to x x2 ex log x
Differentiate with respect to x x3 ex
Differentiate with respect to x x3 sin x