Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Find an equation of the line that is tangent to the graph of f and parallel to the given line.
Function f(x) = −1/4 x2 Line x + y = 0
Function f(x) = −1/4 x2 Line x + y = 0
Equation of the line that is tangent to the graph of f = ?
Slope of the tangent to the graph of f = f'(x)
Slope of the tangent that is parallel to the given line:
Given line: x + y = 0
=> y = 0 - x
=> y = -x + 0
comparing to y = m1x + c
slope of the given line = m1 = -1
∴ slope of the tangent which is parallel to the given line = -1 .......................(2)
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