AP Calculus AB Pacing and Alignment Guide

Chapter 3 Solutions Manual (Access Restricted)

3.1 Learning Targets

I can find the derivative of a function using the Power Rule, Constant Rule, Sum Rule and the Difference Rule.

I can find the derivative of the natural exponential function.

I can justify the use of the Product and Quotient Rules.

I can compute a derivative using the Product Rule.

3.2 Learning Targets

I can compute a derivative using the Quotient Rule.

3.3 Learning Targets

I can compute the derivative of a trigonometric function.

I can compute a derivative of a trigonometric function in a real world application.

3.4 Learning Targets

I can compute the derivative of a function using the Chain Rule.

I can compute the derivative of an exponential function in the form of f(x) = a^x .

3.6 Learning Targets

I can compute the derivative of a basic logarithmic function.

I can compute a derivative of a function using the process of logarithmic differentiation.

3.7 Learning Targets

I can compute and interpret the rate of change in the natural sciences.

I can compute and interpret the rate of change in the social sciences.

3.8 Learning Targets

I understand the only solutions of the differential equation dy/dt = ky are the exponential functions y(t) = y(0)e^kt.

I can find the rate of growth (decay) in a real world exponential function.

3.9 Learning Targets

I can solve a real world problem involving related rates (Focus is similar triangles).

I can solve a real world problem involving related rates (Focus is a circular pattern).

I can solve a real world problem involving related rates (Focus is the Pythagorean Theorem).

3.10 Learning Targets

I can find the linear approximation to a function and use it to approximate a given value.

I can find the differential of a given function.