{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

124quiz4solutions

124quiz4solutions - Math 124 Quiz 4 Sept 29 2006 SOLUTIONS...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 124 Quiz 4 Sept. 29, 2006 SOLUTIONS 1) [4 points] Find the derivatives of the following functions with respect to the indicated variables. There is no need to simply answers. Do NOT use the product or quotient rules here. (a) f ( x ) =- 3 x 1 3 + √ 2- √ x , with respect to x (b) g ( t ) = 2 t 4- 5 √ t + 7 t , with respect to t (c) w ( z ) = az 2 + z + 1 z , with respect to z (d) h ( r ) = a r b , with respect to r (e) g ( a ) = e a + a e , with respect to a Solutions: (a) f ( x ) =- x- 2 3- 1 2 x- 1 2 (b) g ( t ) = 8 t 3- 5 2 t- 1 2- 7 t- 2 (c) First rewrite w ( z ) = az + 1 + z- 1 . Then w ( z ) = a- z- 2 (d) Rewrite h ( r ) = ( 1 b ) a r . Treat 1 b as a constant. Then h ( r ) = 1 b a r ln a (e) Here remember to treat a as the variable. Then g ( a ) = e a + ea e- 1 , since the derivative of e a is itself and a e is a power function. 2) [2 points] Let f ( x ) = 4 x 2 + 3 e x . Find an equation of the tangent line through f at x = 1. Do not use decimal approximations in your answer, i.e. leave answers in exact form. There’s no need to reduce oruse decimal approximations in your answer, i....
View Full Document

{[ snackBarMessage ]}

Page1 / 2

124quiz4solutions - Math 124 Quiz 4 Sept 29 2006 SOLUTIONS...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online