Math

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