$$\text{f\ }\frac{+}{-}\text{\ \ }g = f^{'}\frac{+}{-}\ g'\ $$ c * f = c * f^′ f * g = f^′ * g + f * g^′ $$\frac{f}{g}\ = \ \frac{f^{'}*g - f*g^{'}}{g^{2}}$$ $$\ln f = \ \frac{f^{'}}{f}$$ f^c = c *  f^c − 1 * f′ $$f^{g} = \ f^{g}\ (\ \frac{f^{'}*g}{f} + g^{'}\ln f\ )$$	sinx = cosx cosx = −sinx $$tgx = \frac{1}{\cos^{2}x}$$ $$ctgx = - \frac{1}{\sin^{2}x}$$ $$arcsinx = \frac{1}{\sqrt{1 - x^{2}}}$$ $$arccosx = - \frac{1}{\sqrt{1 - x^{2}}}$$ $$arctgx = \frac{1}{1 + x^{2}}$$ $$arcctgx = - \frac{1}{1 + x^{2}}$$ $${\sqrt{x} = \frac{1}{2\sqrt{x}}\backslash n}{\sqrt[n]{x} = \frac{1}{n\sqrt[n]{x^{n - 1}}}}$$ $$\log_{a}x = \frac{1}{\text{xlna}}$$ $$lnx = \frac{1}{x}$$
c = 0 x = 1 x^n = n x^n − 1 ax + b = a ax^2 + bx + c = 2ax + b $$\frac{a}{x} = - \frac{a}{x^{2}}$$ e^x = e^x a^x = a^xlna x^x = x^x(1+lnx)

$$\text{f\ }\frac{+}{-}\text{\ \ }g = f^{'}\frac{+}{-}\ g'\ $$ c * f = c * f^′ f * g = f^′ * g + f * g^′ $$\frac{f}{g}\ = \ \frac{f^{'}*g - f*g^{'}}{g^{2}}$$ $$\ln f = \ \frac{f^{'}}{f}$$ f^c = c *  f^c − 1 * f′ $$f^{g} = \ f^{g}\ (\ \frac{f^{'}*g}{f} + g^{'}\ln f\ )$$	sinx = cosx cosx = −sinx $$tgx = \frac{1}{\cos^{2}x}$$ $$ctgx = - \frac{1}{\sin^{2}x}$$ $$arcsinx = \frac{1}{\sqrt{1 - x^{2}}}$$ $$arccosx = - \frac{1}{\sqrt{1 - x^{2}}}$$ $$arctgx = \frac{1}{1 + x^{2}}$$ $$arcctgx = - \frac{1}{1 + x^{2}}$$ $${\sqrt{x} = \frac{1}{2\sqrt{x}}\backslash n}{\sqrt[n]{x} = \frac{1}{n\sqrt[n]{x^{n - 1}}}}$$ $$\log_{a}x = \frac{1}{\text{xlna}}$$ $$lnx = \frac{1}{x}$$
c = 0 x = 1 x^n = n x^n − 1 ax + b = a ax^2 + bx + c = 2ax + b $$\frac{a}{x} = - \frac{a}{x^{2}}$$ e^x = e^x a^x = a^xlna x^x = x^x(1+lnx)

$$\text{f\ }\frac{+}{-}\text{\ \ }g = f^{'}\frac{+}{-}\ g'\ $$ c * f = c * f^′ f * g = f^′ * g + f * g^′ $$\frac{f}{g}\ = \ \frac{f^{'}*g - f*g^{'}}{g^{2}}$$ $$\ln f = \ \frac{f^{'}}{f}$$ f^c = c *  f^c − 1 * f′ $$f^{g} = \ f^{g}\ (\ \frac{f^{'}*g}{f} + g^{'}\ln f\ )$$

sinx = cosx cosx = −sinx $$tgx = \frac{1}{\cos^{2}x}$$ $$ctgx = - \frac{1}{\sin^{2}x}$$ $$arcsinx = \frac{1}{\sqrt{1 - x^{2}}}$$ $$arccosx = - \frac{1}{\sqrt{1 - x^{2}}}$$ $$arctgx = \frac{1}{1 + x^{2}}$$ $$arcctgx = - \frac{1}{1 + x^{2}}$$ $${\sqrt{x} = \frac{1}{2\sqrt{x}}\backslash n}{\sqrt[n]{x} = \frac{1}{n\sqrt[n]{x^{n - 1}}}}$$ $${l\text{og}}_{a}x = \frac{1}{\text{xlna}}$$ $$lnx = \frac{1}{x}$$

c = 0 x = 1 x^n = n x^n − 1 ax + b = a ax^2 + bx + c = 2ax + b $$\frac{a}{x} = - \frac{a}{x^{2}}$$ e^x = e^x a^x = a^xlna x^x = x^x(1+lnx)

$$\text{f\ }\frac{+}{-}\text{\ \ }g = f^{'}\frac{+}{-}\ g'\ $$ c * f = c * f^′ f * g = f^′ * g + f * g^′ $$\frac{f}{g}\ = \ \frac{f^{'}*g - f*g^{'}}{g^{2}}$$ $$\ln f = \ \frac{f^{'}}{f}$$ f^c = c *  f^c − 1 * f′ $$f^{g} = \ f^{g}\ (\ \frac{f^{'}*g}{f} + g^{'}\ln f\ )$$	sinx = cosx cosx = −sinx $$tgx = \frac{1}{\cos^{2}x}$$ $$ctgx = - \frac{1}{\sin^{2}x}$$ $$arcsinx = \frac{1}{\sqrt{1 - x^{2}}}$$ $$arccosx = - \frac{1}{\sqrt{1 - x^{2}}}$$ $$arctgx = \frac{1}{1 + x^{2}}$$ $$arcctgx = - \frac{1}{1 + x^{2}}$$ $${\sqrt{x} = \frac{1}{2\sqrt{x}}\backslash n}{\sqrt[n]{x} = \frac{1}{n\sqrt[n]{x^{n - 1}}}}$$ $$\log_{a}x = \frac{1}{\text{xlna}}$$ $$lnx = \frac{1}{x}$$
c = 0 x = 1 x^n = n x^n − 1 ax + b = a ax^2 + bx + c = 2ax + b $$\frac{a}{x} = - \frac{a}{x^{2}}$$ e^x = e^x a^x = a^xlna x^x = x^x(1+lnx)

$$\text{f\ }\frac{+}{-}\text{\ \ }g = f^{'}\frac{+}{-}\ g'\ $$ c * f = c * f^′ f * g = f^′ * g + f * g^′ $$\frac{f}{g}\ = \ \frac{f^{'}*g - f*g^{'}}{g^{2}}$$ $$\ln f = \ \frac{f^{'}}{f}$$ f^c = c *  f^c − 1 * f′ $$f^{g} = \ f^{g}\ (\ \frac{f^{'}*g}{f} + g^{'}\ln f\ )$$	sinx = cosx cosx = −sinx $$tgx = \frac{1}{\cos^{2}x}$$ $$ctgx = - \frac{1}{\sin^{2}x}$$ $$arcsinx = \frac{1}{\sqrt{1 - x^{2}}}$$ $$arccosx = - \frac{1}{\sqrt{1 - x^{2}}}$$ $$arctgx = \frac{1}{1 + x^{2}}$$ $$arcctgx = - \frac{1}{1 + x^{2}}$$ $${\sqrt{x} = \frac{1}{2\sqrt{x}}\backslash n}{\sqrt[n]{x} = \frac{1}{n\sqrt[n]{x^{n - 1}}}}$$ $$\log_{a}x = \frac{1}{\text{xlna}}$$ $$lnx = \frac{1}{x}$$
c = 0 x = 1 x^n = n x^n − 1 ax + b = a ax^2 + bx + c = 2ax + b $$\frac{a}{x} = - \frac{a}{x^{2}}$$ e^x = e^x a^x = a^xlna x^x = x^x(1+lnx)

$$\text{f\ }\frac{+}{-}\text{\ \ }g = f^{'}\frac{+}{-}\ g'\ $$ c * f = c * f^′ f * g = f^′ * g + f * g^′ $$\frac{f}{g}\ = \ \frac{f^{'}*g - f*g^{'}}{g^{2}}$$ $$\ln f = \ \frac{f^{'}}{f}$$ f^c = c *  f^c − 1 * f′ $$f^{g} = \ f^{g}\ (\ \frac{f^{'}*g}{f} + g^{'}\ln f\ )$$	sinx = cosx cosx = −sinx $$tgx = \frac{1}{\cos^{2}x}$$ $$ctgx = - \frac{1}{\sin^{2}x}$$ $$arcsinx = \frac{1}{\sqrt{1 - x^{2}}}$$ $$arccosx = - \frac{1}{\sqrt{1 - x^{2}}}$$ $$arctgx = \frac{1}{1 + x^{2}}$$ $$arcctgx = - \frac{1}{1 + x^{2}}$$ $${\sqrt{x} = \frac{1}{2\sqrt{x}}\backslash n}{\sqrt[n]{x} = \frac{1}{n\sqrt[n]{x^{n - 1}}}}$$ $$\log_{a}x = \frac{1}{\text{xlna}}$$ $$lnx = \frac{1}{x}$$
c = 0 x = 1 x^n = n x^n − 1 ax + b = a ax^2 + bx + c = 2ax + b $$\frac{a}{x} = - \frac{a}{x^{2}}$$ e^x = e^x a^x = a^xlna x^x = x^x(1+lnx)