1) Find the first and second derivative of the function where k is a non-zero constant. f(x)=e^kx f '(x) = f ''(x) = a)Suppose that k is positive. i)Is the first derivative positive or negative? ii)Is the second derivative positive or negative? iii)Which of the following describes the graph of y=ekx? Decreasing and concave down Decreasing and concave up Increasing and concave up Increasing and concave down -Suppose that k is negative. i)Is the first derivative positive or negative? ii)Is the second derivative
1) Find the first and second derivative of the function where k is a non-zero constant.
f(x)=e^kx
f '(x) =
f ''(x) =
a)Suppose that k is positive.
i)Is the first derivative positive or negative?
ii)Is the second derivative positive or negative?
iii)Which of the following describes the graph of y=ekx?
-Suppose that k is negative.
i)Is the first derivative positive or negative?
ii)Is the second derivative positive or negative?
iii)Which of the following describes the graph of y=ekx?
2)Find the first and second derivative of the function for x greater than zero.
f(x)= ln(x)
f '(x) =
f ''(x) =
i)Is the first derivative positive or negative?
ii)Is the second derivative positive or negative?
iii)Which of the following describes the graph of y = ln x?
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