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学び始める

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

Math