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10 questions from this quiz
Gradient of tangent line 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)
As hhh gets infinitely close to zero
f(x+h)−f(x)h\frac{f(x+h) - f(x)}{h}hf(x+h)−f(x)
Factorise hhh from the numerator
x2+2xh+h2x^2 + 2xh + h^2x2+2xh+h2
333
2x+52x + 52x+5
After cancelling the common factor hhh
999
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