Question

Use a calculator to find the alternative form of the derivative.

a) Slope-intercept form
b) Point-slope form
c) Logarithmic form
d) Parametric form

Answer 1

The alternative forms of the derivative are slope-intercept form, point-slope form, logarithmic form, and parametric form.

Step-by-step explanation:

The alternative form of the derivative depends on the context of the problem you are working on. However, among the options provided, the alternative forms of the derivative would be:

1. Slope-intercept form: The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
2. Point-slope form: The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
3. Logarithmic form: The logarithmic form of a derivative represents the rate of change at a given point on a curve. It is typically represented as y' = 1/(x * ln(a)), where a is the base of the logarithm.
4. Parametric form: The parametric form of a derivative is used when describing a curve in terms of parameter equations. It is typically represented as dx/dt and dy/dt, where t is the parameter.