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Questions and Answers
At the point (2, 8), if the chain rule was not used during differentiation, what would be the result?
At the point (2, 8), if the chain rule was not used during differentiation, what would be the result?
- 1 - 3y^2
- 1 + y^3
- 1 - x^2
- 1 + 2/3y (correct)
What would be the result of differentiating x^5 − 5x if the chain rule was not used?
What would be the result of differentiating x^5 − 5x if the chain rule was not used?
- 5x^4 - 5
- x^4 - 5
- x^4 - x^5
- 5x^4 - ln(5)x (correct)
If the power rule was wrongly applied to the exponential function 5x, what would be the incorrect response?
If the power rule was wrongly applied to the exponential function 5x, what would be the incorrect response?
- x * 5^(x-1)dx (correct)
- 5x^(4) - (ln 5)5x
- (ln a)ax
- 5x^(5-1)
In the context provided, what might lead to the response x^4 - x^5?
In the context provided, what might lead to the response x^4 - x^5?
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If x = 2 and y = 8 satisfy an equation, what could result from calculating 3 dy/dx?
If x = 2 and y = 8 satisfy an equation, what could result from calculating 3 dy/dx?
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What would be the outcome of taking the antiderivative of x^5 − 5x?
What would be the outcome of taking the antiderivative of x^5 − 5x?
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What happens if the derivative of a^x is incorrectly taken as a^x instead of (ln a)a^x?
What happens if the derivative of a^x is incorrectly taken as a^x instead of (ln a)a^x?
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If the problem is treated like the limit of a rational function as x goes to infinity, what might lead to an incorrect response?
If the problem is treated like the limit of a rational function as x goes to infinity, what might lead to an incorrect response?
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