I keep getting “Derivative” questions wrong in Differentiation. What's the trap?
confusing the derivative (a rate) with the function's value.
The usual trap: confusing the derivative (a rate) with the function's value. How to avoid it: derivative = how fast the output changes as the input changes. Go back to the definition — the instantaneous rate of change of a function — the slope of the tangent at a point.
Key point
Derivative
Common mistake
confusing the derivative (a rate) with the function's value.
Memory tip
derivative = how fast the output changes as the input changes.
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