The second derivative f\'\'(x) = d^2/dx^2(e^x) = e^x.
If f(x) = e^x, what is f''(x)? (2020)
Practice Questions
Q1
If f(x) = e^x, what is f''(x)? (2020)
e^x
xe^x
2e^x
0
Questions & Step-by-Step Solutions
If f(x) = e^x, what is f''(x)? (2020)
Step 1: Understand that f(x) = e^x is a function where e is a constant (approximately 2.718).
Step 2: The first derivative f'(x) is found by differentiating f(x) with respect to x.
Step 3: The derivative of e^x is e^x, so f'(x) = e^x.
Step 4: To find the second derivative f''(x), we differentiate f'(x) again with respect to x.
Step 5: Since f'(x) = e^x, the derivative of e^x is still e^x.
Step 6: Therefore, f''(x) = e^x.
Differentiation of Exponential Functions – Understanding how to differentiate the exponential function e^x, which remains unchanged upon differentiation.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
