Derivative of 2^x
Answer
2^x*ln(2)
Derivative of 2^x
- Rule Used
- Exponential Rule
- Steps
- Recognize the exponential 2^x. For e^x the derivative equals the original function. For a^x the factor appears, because a^x = .
- Apply the rule and keep that constant factor.
- Final answer: 2^x*
The derivative of 2^x is 2^x*ln(2).
Instant step-by-step solution for 2^x
Share this result
Derivative of 2^x = 2^x*ln(2) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-2-x
How to find the derivative of 2^x
To find the derivative of 2^x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of x^(1/3)
Solve d/dx x^(1/3)
Derivative of cos(2x)
Solve d/dx cos(2x)
Derivative of cos(x)^2
Solve d/dx cos(x)^2
Derivative of cos(x)
Solve d/dx cos(x)
Derivative of cosh(x)
Solve d/dx cosh(x)
Derivative of cot(x)
Solve d/dx cot(x)
Derivative of csc(x)
Solve d/dx csc(x)
Derivative of ln(2x)
Solve d/dx ln(2x)
Derivative of ln(x)
Solve d/dx ln(x)
Frequently Asked Questions
What is the derivative of 2^x?▼
The derivative of 2^x is 2^x*ln(2).
How do you find the derivative of 2^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is 2^x*ln(2).
Why is the derivative of 2^x equal to 2^x*ln(2)?▼
Because differentiation measures how a function changes — applying the rules to 2^x yields 2^x*ln(2). See the full step-by-step breakdown above.