CALCULUS EXAM #2 QUESTIONS AND
ANSWERS
d/dx [lnx] - ANSWER-1/x, x>0
ln(AB) - ANSWER-lnA+lnB
ln(A/B) - ANSWER-lnA-lnB
ln(AB/CD) - ANSWER-lnA+lnB-lnC-lnD
lnx^r - ANSWER-rlnx
ln(A+B) - ANSWER-ln(A+B)
ln(A+B)^2 - ANSWER-2ln(A+B)
d/dx [a^x] - ANSWER-(lna)a^x
d/dx [logax] - ANSWER-1/(lna)x
lne - ANSWER-log
log - ANSWER-log10
Explicit Form - ANSWER-y=1/x
Implicit Form - ANSWER-xy=1
Determine where the function h(z)=6+40z3−5z4−4z5 is increasing and decreasing. -
ANSWER-Increasing :−3<z<0, 0<z<2
Decreasing :−∞<z<−3, 2<z<∞
Evaluate lim t+1 / |t+1| , if it exists.
t→−1 - ANSWER-DNE
State if each point is continuous or discontinuous at
f(x)=4x+−3x
x=−1
x=0
ANSWERS
d/dx [lnx] - ANSWER-1/x, x>0
ln(AB) - ANSWER-lnA+lnB
ln(A/B) - ANSWER-lnA-lnB
ln(AB/CD) - ANSWER-lnA+lnB-lnC-lnD
lnx^r - ANSWER-rlnx
ln(A+B) - ANSWER-ln(A+B)
ln(A+B)^2 - ANSWER-2ln(A+B)
d/dx [a^x] - ANSWER-(lna)a^x
d/dx [logax] - ANSWER-1/(lna)x
lne - ANSWER-log
log - ANSWER-log10
Explicit Form - ANSWER-y=1/x
Implicit Form - ANSWER-xy=1
Determine where the function h(z)=6+40z3−5z4−4z5 is increasing and decreasing. -
ANSWER-Increasing :−3<z<0, 0<z<2
Decreasing :−∞<z<−3, 2<z<∞
Evaluate lim t+1 / |t+1| , if it exists.
t→−1 - ANSWER-DNE
State if each point is continuous or discontinuous at
f(x)=4x+−3x
x=−1
x=0
