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Differentiable function

math Maturity 11-13

Some lines are very smooth.

Polynomialdeg3.svg
Polynomialdeg3.svg
They do not have sharp turns. They do not have any breaks. They look like a gentle hill. This helps us see how things change. It is a neat way to look at shapes. Can you find a smooth line?
Approximation of cos with linear functions without numbers.svg
Approximation of cos with linear functions without numbers.svg

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🖼️ Images & Media (5)
File:Polynomialdeg3.svg
Polynomialdeg3.svg
File:Absolute value.svg
Absolute value.svg
File:Cusp at (0,0.5).svg
Cusp at (0,0.5).svg
File:Approximation of cos with linear functions without numbers.svg
Approximation of cos with linear...
File:The function x^2*sin(1 over x).svg
The function x^2*sin(1 over x).svg
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📚 Content adapted from Wikipedia | Readability: FK 14.3 | Vital Level 5