18. Find the value of the expression below If \( j = \frac { 8 } { 9 } \) and \( k = \frac { 14 } { 15 } \)
\( 1 \frac { 1 } { 4 } j - \frac { 5 } { 8 } k \)
A. \( \frac { 19 } { 36 } \) C. \( \frac { 13 } { 24 } \)
B. \( \frac { 7 } { 12 } \) D. \( \frac { 11 } { 18 }\)
A
If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for
a) \( f ^ { \prime } ( g ( h ( x ) ) \)
b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \)
c) None of these
d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \)
e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\)
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
