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How do you differentiate?

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Answer:

A bit of an intro
dy/dx is called the derivative of y with respect to x it can also be denoted by f ' (x)
it is the rate of change of y with respect to x
when differentiating use the following strategy;

if y = xⁿ then dy/dx = nx ^n-1
if y = cxⁿ (c is a constant) then dy/dx = cnx ^n-1

so in words you drop the power of x by 1 and put the old power in front
example x² + 3x- 10 becomes 2x + 3 - 0 when differentiated
example with fractions 1/3 x³ + 3/4 x⁸ becomes x² + 6x⁷ when differentiated

First answer by BreakingDawn93. Last edit by BreakingDawn93. Contributor trust: 1 [recommend contributor ]. Question popularity: 1 [recommend question].

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