Section 4.2 – Differentiating Exponential Functions THE MEMORIZATION LIST BEGINS.

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Presentation transcript:

Section 4.2 – Differentiating Exponential Functions THE MEMORIZATION LIST BEGINS

Find

POSITION s(t) VELOCITY v(t) ACCELERATION a(t) DIFFERENTIATEDIFFERENTIATE INTEGRATEINTEGRATE

A particle moves along a line so that at time t, 0 < t < 5, its position is given by a) Find the position of the particle at t = 2 b) What is the initial velocity? (Hint: velocity at t = 0) c) What is the acceleration of the particle at t = 2

CALCULATOR REQUIRED Suppose a particle is moving along a coordinate line and its position at time t is given by For what value of t in the interval [1, 4] is the instantaneous velocity equal to the average velocity? a) 2.00 b) 2.11 c) 2.22 d) 2.33 e) 2.44

then

D The Quotient Rule

An equation of the normal to the graph of NO CALCULATOR

An equation of the line normal to the curve NO CALCULATOR

Consider the function A) 5 B) 4 C) 3 D) 2 E) 1 NO CALCULATOR

If u(4) = 3, u ‘ (4) = 2, v(4) = 1, v ‘ (4) = 4, find:

ADD TO THE MEMORIZATION LIST 4.1

Find the equation of the tangent line of

NO CALCULATOR At x = 0, which of the following is true of A)f is increasing B)f is decreasing C)f is discontinuous D)f is concave up E)f is concave down X X X

NO CALCULATOR If the average rate of change of a function f over the interval from x = 2 to x = 2 + h is given by A) -1 B) 0 C) 1 D) 2 E) 3

NO CALCULATOR The graph of has an inflection point whenever

NO CALCULATOR

then an equation of the line tangent to the graph of F at the point where