As you did in exponential derivatives, your task is to find a formula for finding the slope at any point of y = 2². Start by creating a table like the one shown here. II 1 2 3 4 9/1 12 9/2 Derivative (291 22 21 Use the secant method that we used in Exponential slopes: • For each z in the 2₁ column, find the y value that goes with it; • Pick another z value very, very, very close by and finds its y value; Get a good approximation for the derivative of the function at the point on the graph y = z² by finding the slope of the secant between these two points. Do this for at least three more x values. See if you can find a formula for finding the derivative at any point in terms of either the r or y value.

As you did in exponential derivatives, your task is to find a formula for finding the slope at any point of y = 2². Start by creating a table like the one shown here. II 1 2 3 4 9/1 12 9/2 Derivative (291 22 21 Use the secant method that we used in Exponential slopes: • For each z in the 2₁ column, find the y value that goes with it; • Pick another z value very, very, very close by and finds its y value; Get a good approximation for the derivative of the function at the point on the graph y = z² by finding the slope of the secant between these two points. Do this for at least three more x values. See if you can find a formula for finding the derivative at any point in terms of either the r or y value.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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