**p. 185 #70.) Finding where the tangent line is horizontal**

Find all points at which the tangent line to the curve is horizontal or vertical. Be sure to use a graphing utility to plot this implicit curve and to visually check the results of algebraic reasoning that you use to determine where the tangent lines are horizontal and vertical.... Find the dervative of the function using the limit definition of the derivative, the diff command and then the D command and then use all three methods to find the slope of at . Find the equation of the line tangent to the graph of the function at .

**p. 185 #70.) Finding where the tangent line is horizontal**

Find the dervative of the function using the limit definition of the derivative, the diff command and then the D command and then use all three methods to find the slope of at . Find the equation of the line tangent to the graph of the function at .... Find the dervative of the function using the limit definition of the derivative, the diff command and then the D command and then use all three methods to find the slope of at . Find the equation of the line tangent to the graph of the function at .

**p. 185 #70.) Finding where the tangent line is horizontal**

Using the first derivative of the nonlinear function, however, you can quickly find the slope of the tangent line at any point on the curve without having to find the equation of the tangent line. Secant Lines. The slope of a secant line approximates the slope of a nonlinear function between two points. Because a secant line is straight, its slope can be determined using the rise-over-run... Derivatives: Gradient of a line, gradient of a curve Christopher Thomas c 1997 University of Sydney. 2.00 4.00 6.00 8.00 100 200 300 (metres) Distance time (seconds) Mathematics Learning Centre, University of Sydney 1 1Introduction In day to day life we are often interested in the extent to which a change in one quantity aï¬€ects a change in another related quantity. This is called a rate of

**p. 185 #70.) Finding where the tangent line is horizontal**

When we find it we say that we are differentiating the function. The derivative of f(x) is written using an apostrophe after the f. The notation is fÂ´(x) or yÂ´ The notation dy/dx is also commonly used. First look at the constant function, or f(x) = k where k is a constant value, for example f(x) = 2 or y = 2 The graph is shown here. In this case it's difficult to talk about a tangent as the... Math exercise and derivative exercises online : How calculate the x,y coordinate of a point ? How calculate the slope (angular coefficient) of a straight line and the slope of a tangent line using mathematics and derivatives ?

## How To Find Horizontal Tangent Using Derivatives

### Equation of tangent line (derivatives) Khan Academy

- Equation of tangent line (derivatives) Khan Academy
- Equation of tangent line (derivatives) Khan Academy
- p. 185 #70.) Finding where the tangent line is horizontal
- p. 185 #70.) Finding where the tangent line is horizontal

## How To Find Horizontal Tangent Using Derivatives

### Using the first derivative of the nonlinear function, however, you can quickly find the slope of the tangent line at any point on the curve without having to find the equation of the tangent line. Secant Lines. The slope of a secant line approximates the slope of a nonlinear function between two points. Because a secant line is straight, its slope can be determined using the rise-over-run

- Using Derivatives Recall that derivative means rate of change. Hence, if we want to find when a specific location on a function's tangent line is horizontal, we need to find when the rate of
- the same as that of f(x)â€™s approach if the approach is from the left and opposite to that of f(x)â€™s approach if the approach is from the right.
- the same as that of f(x)â€™s approach if the approach is from the left and opposite to that of f(x)â€™s approach if the approach is from the right.
- Find all points at which the tangent line to the curve is horizontal or vertical. Be sure to use a graphing utility to plot this implicit curve and to visually check the results of algebraic reasoning that you use to determine where the tangent lines are horizontal and vertical.

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