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开始学习

问题		答案
Derivative of x^n 开始学习		n*x^(n-1)
Derivative of sin x 开始学习		cos x
Derivative of cos x 开始学习		- sin x
Derivative of tan x 开始学习		1/((cos x)^2)
Derivative of e^x 开始学习		e^x
Derivative of ln x 开始学习		1/x
Product Rule 开始学习		y = uv -> dy/dx = u(dv/dx) + v(du/dx)
Chain rule 开始学习		y = g(u), u=f(x) -> dy/dx = dy/du * du/dx
x^(-1/2) equals to: 开始学习		1/(x^(1/2))
Quotient Rule 开始学习		y=u/v -> dy/dx = (v(du/dx) - u(dv/dx))/v^2
To find a gradient of the curve at some point x 开始学习		Derivative a function and apply needed x value to the derivative equation
To find tangent of f(x) when x = something 开始学习		1. Calculate gradient at that point by derivative 2. Use the equation y=mx+c at that point to find the c value
What is Normal line of the curve at some point 开始学习		It is the line perpendicular to the tangent line at that point
The slope of the normal 开始学习		Its the number opposite and reciprocal (l. odwrotna) to the tangent slope

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