Question: Could someone help me with this? I need to write down 4 REAL LIFE examples of the following derivative rules: TTHIS IS ONE EXAMPLE SO
Could someone help me with this?
I need to write down 4 REAL LIFE examples of the following derivative rules:
TTHIS IS ONE EXAMPLE SO YOU UNDERSTAND WHAT I NEED
The constant rule says, in Lebesgue's, apostrophy ', notation, that f(x)=c has derivative f'(x)=0.
And here is the example given to this case: f(x)=32 (in physics, the gravity acceleration on earth surface in ft/sq sec) has derivative f(x)=0
(32 is an example of a constant).
Here is what i need 4 examples for:
- PRODUCT RULE: the derivative of the product of two functions f(x).g(x) is the derivative of the first times the second, unchanged, plus the first function unchanged, times the derivative of the second.
- QUOTIENT RULE: the derivative of the quotient of 2 functions f(x)/g(x) is a quotient with the numerator the same as the result of the product rule, except for minus in place of plus. and the denominator the square of g(x)
- the chain rule: the derivative of the composition of 2 functions f(g(x)) is the product of the derivative of the outside functions d/du f(u) with respect to a new variable representing the inside u=g(x), times the derivative of the inside function d/dx g(x)
- the chain rule combined with the power rule: when the outside function is a power function, the derivative of f(g(x))=(g(x))A is the product of AuA-1 (which is equal to A(g(x))A-1) times d/dx g(x)
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