AP Calculus AB Review for Exam

Use Chain Rule to find the derivative of the following function: sin(7x)

Evaluate the Limit below:

The height s in feet of the football is given by s(x)= -16x² +70x + 6 where x is in seconds. Find the velocity at x=3:

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Which is a correct formula for L’Hospital’s Rule

Solve:

Using your unit circle knowledge find:

Find the equation of the normal line tangent to f(x) = x⁶ at x = -1

The velocity of a bicyclist riding for 30 seconds is seen below. Use RRAM to estimate the distance traveled(6 intervals)

Use Integration by Substitution to solve the following:

Which function represents this slope field ?

Use Chain Rule to find the derivative of the following function: 3(5x - x³)⁴

Use Quotient Rule to differentiate the following equation:

Use what you know about integration with inverse trig functions to solve the following:

Using the Fundamental Theorem of Calculus solve the following:

Find the slope of the curve (x + 2)² + (y + 3)² = 25 at the point (1, -7)

Use what you know about the rules of natural log to find the derivative of : 4ln(x)

Use Product Rule to differentiate the following function: y = (x^2 + 1) (2x⁴ + 3x³ + 2)

Find an equation of the line containing (-6,6) and (-3,1)

Given f''(x) = (x - 3)(x + 1)² Find the point of inflection of the graph of y = f(x)

In an experiment of population of bacteria, find the average rate of change from P to Q.