8 Questions
At the point (2, 8), if the chain rule was not used during differentiation, what would be the result?
1 + 2/3y
What would be the result of differentiating x^5 − 5x if the chain rule was not used?
5x^4 - ln(5)x
If the power rule was wrongly applied to the exponential function 5x, what would be the incorrect response?
x * 5^(x-1)dx
In the context provided, what might lead to the response x^4 - x^5?
Misapplication of the power rule
If x = 2 and y = 8 satisfy an equation, what could result from calculating 3 dy/dx?
(1 + y)/(3dy)
What would be the outcome of taking the antiderivative of x^5 − 5x?
(1/6)x^6 - (5/2)x^2 + C
What happens if the derivative of a^x is incorrectly taken as a^x instead of (ln a)a^x?
(a - ln a)a^x
If the problem is treated like the limit of a rational function as x goes to infinity, what might lead to an incorrect response?
(e + f)/x
Test your understanding of applying properties of definite integrals, including the quotient rule and removable discontinuities. Solve questions involving functions and limits to improve your skills.
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