# Redshift Academy   Wolfram Alpha: Search by keyword: Astronomy

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- Units, Constants and Useful Formulas

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- ```Tangent and Normal Line
-----------------------

Ex: f(x) = x4 + 2ex at (0,2)

f'(x) = 4x3 + 2ex

f'(0) = 2

y - y1 = m(x - x1)

y - 2 = 4(x - 0)

y = 2x + 2

Alternatively, we could have done:

y = mx + b

= 2x + b

2 = 0 + b

∴ b = 2

Normal line:

y - 2 = -1/2(x - 0)   ... product of tangent and normal = -1

y = (-1/2)x + 2``` 