Differentiation of exponential functions
What Differentiation of exponential functions means in Mathematics A-Level, as defined for AQA, Pearson Edexcel.
Definitions of Differentiation of exponential functions
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Reference: AQA
Differentiating y = e^(kx) gives dy/dx = k e^(kx), so the gradient at any point equals k times the current value.
The gradient of e^(kx) is equal to k e^(kx), so the function reproduces itself multiplied by the constant k.
Topics that use Differentiation of exponential functions
- F: Exponentials and logarithms (AQA A-Level)
- Exponentials and logarithms (Pearson Edexcel A-Level)
Related terms
- Exponential function
- Linearisation
- Algebraic manipulation
- Applications of calculus
- Asymptote
- Asymptotic behaviour and intercepts
- Continuous change
- Critiquing and refining mathematical models
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