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10 cards from this deck
Instantaneous rate of change of function
Gradient of tangent line to curve at a point
limh→0f(x+h)−f(x)h\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}limh→0hf(x+h)−f(x)
Value gradient approaches as interval approaches zero
Tangent line
f(x+h)−f(x)h\frac{f(x+h) - f(x)}{h}hf(x+h)−f(x)
Factorise hhh from the numerator
After cancelling hhh, not before
Substitute the xxx-value into f′(x)f'(x)f′(x)
x2+2xh+h2x^2 + 2xh + h^2x2+2xh+h2
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