Derivatives of exponential and trigonometric functions
Differentiate a*e^(kx), a*sin(kx), or a*cos(kx). Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Differentiate f(x).
f(x) = ex
- 2ex
- −ex
- ex
- e2x
Answer: e^x
See one solved, step by step
Differentiate f(x).
f(x) = 6e3x
- 18e4x
- −18e3x
- 6e3x
- 18e3x
📘 Worked solution
1f'(x) = 18e3xThe derivative of e^(kx) is k*e^(kx) — the exponential reproduces itself, times the inside rate k. Multiply by the outside coefficient 6 as usual.
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