i can differentiate, but when it comes to fraction i'm blatantly doing it wrong,
e.g. when i diff y = 5 + (x/2) + (x^2/60) - (x^3/1800) I get = 1 + 2x - 3x^2
can someone please explain this as i have no examples on how to diff a fraction
e.g. when i diff y = 5 + (x/2) + (x^2/60) - (x^3/1800) I get = 1 + 2x - 3x^2
can someone please explain this as i have no examples on how to diff a fraction
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The diff of 5 is zero
the diff of x is 1 but we have 0.5 x so this gives 0.5
the diff of x^2 is 2x but we have 1/60th of x^2 so this gives 1/30th of x
the diff of x ^3 is 3 x^2 but we have -1/1800x ^3 so this gives - 1/600 x^2
The full answer is 0.5 + x/30 - (x^2)/600
Just treat the fraction as the coefficient of the term you are differentiating.
the diff of x is 1 but we have 0.5 x so this gives 0.5
the diff of x^2 is 2x but we have 1/60th of x^2 so this gives 1/30th of x
the diff of x ^3 is 3 x^2 but we have -1/1800x ^3 so this gives - 1/600 x^2
The full answer is 0.5 + x/30 - (x^2)/600
Just treat the fraction as the coefficient of the term you are differentiating.
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Rewrite:
y = 5 + (1/2)*x + (1/60)*x² - (1/1800)*x³
Differentiate:
y' = (1/2)*1 + (1/60)*2x - (1/1800)*3x²
y = 5 + (1/2)*x + (1/60)*x² - (1/1800)*x³
Differentiate:
y' = (1/2)*1 + (1/60)*2x - (1/1800)*3x²
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This is not a fraction. It is the same as y = 5 + (1/2) x + (1/60) x^2 - (1/1800) x^3, so it is a polynomial. Differentiate it like any polynomial.