dy/dx
F(x)~=~f(a) +f`(a)(x-a)
The expression dy/dx is a notation that represents the derivative of y with respect to x. It represents the rate of change of y with respect to x at a particular point.
To find the derivative of a function, one way is to use the power rule. For instance, if we have the function y = x², we can find the derivative by using the power rule:
dy/dx = 2x
This means that the slope or rate of change of the function at any point x is 2x.
If we have a more complicated function, we can use different rules such as the product rule, quotient rule or chain rule to find the derivative. The derivative has many uses in calculus, such as finding maximum or minimum points, calculating the slope of tangent lines, or determining the concavity of a curve.
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