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Find the slope of a tangent line to the graph?
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
How do you find the slope of a tangent?
Take the derivative of the function.
What is an easy equation for finding the normal line?
The first thing you may want to do would be to find the tangent line to the function. The tangent line is a line that passes through a given point on a function, but does not touch any other point on the function (assuming the function is one to one). Assuming you have the tangent line, the normal line is simply perpendicular to the tangent line- it forms a 90 degree angle with the tangent line. One you have the tangent line and the point which it passes through, you can find the normal line. To obtain the perpendicular line to any function, take the inverse reciprocal of the slope (if your slope was 2, it is now -.5). After that, plug in your (x, y) coordinate, and you can solve for the constant b (assuming there is one). This should give the normal line to a tangent of at a point on a function.
How do you find the slope of a graph if it is a curve?
You find the slope of the tangent to the curve at the point of interest.
What is the tangent of 42 degrees?
The tangent of 42 degrees is approximately 0.9004. To calculate this, you can use a scientific calculator or a trigonometric table. The tangent function in trigonometry is defined as the ratio of the length of the side opposite to the angle to the length of the side adjacent to the angle in a right triangle.
