4 - 1 © 2012 Pearson Education, Inc.. All rights reserved. Chapter 4 Calculating the Derivative
4 - 2 © 2012 Pearson Education, Inc.. All rights reserved. Section 4.1 Techniques for Finding Derivatives
4 - 3 © 2012 Pearson Education, Inc.. All rights reserved.
4 - 4 © 2012 Pearson Education, Inc.. All rights reserved.
4 - 5 © 2012 Pearson Education, Inc.. All rights reserved. Figure 1
4 - 6 © 2012 Pearson Education, Inc.. All rights reserved.
4 - 7 © 2012 Pearson Education, Inc.. All rights reserved.
4 - 8 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1 Solution:
4 - 9 © 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution: Rewrite this as,
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 3 Solution: Rewrite h(t) as
© 2012 Pearson Education, Inc.. All rights reserved. Figure 2
© 2012 Pearson Education, Inc.. All rights reserved. Figure 3
© 2012 Pearson Education, Inc.. All rights reserved. Figure 4
© 2012 Pearson Education, Inc.. All rights reserved. Figure 5
© 2012 Pearson Education, Inc.. All rights reserved. Figure 6
© 2012 Pearson Education, Inc.. All rights reserved. Figure 7
© 2012 Pearson Education, Inc.. All rights reserved. Section 4.2 Derivatives of Products and Quotients
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Figure 8
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1 Solution : Simplify by multiplying and combining terms.
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution:
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Section 4.3 The Chain Rule
© 2012 Pearson Education, Inc.. All rights reserved. Figure 9
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 4 Solution:
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 6 Solution: Now use the product rule and the chain rule.
© 2012 Pearson Education, Inc.. All rights reserved. Figure 10
© 2012 Pearson Education, Inc.. All rights reserved. Section 4.4 Derivatives of Exponential Functions
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution: Use the product rule and the chain rule.
© 2012 Pearson Education, Inc.. All rights reserved. Figure 11
© 2012 Pearson Education, Inc.. All rights reserved. Section 4.5 Derivatives of Logarithmic Functions
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Figure 12
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1
© 2012 Pearson Education, Inc.. All rights reserved.
© 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution (a): Solution (b):
© 2012 Pearson Education, Inc.. All rights reserved. Chapter 4 Extended Application: Electric Potential and Electric Field
© 2012 Pearson Education, Inc.. All rights reserved. Figure 13
© 2012 Pearson Education, Inc.. All rights reserved. Figure 14
© 2012 Pearson Education, Inc.. All rights reserved. Figure 15