Question 1

Which are synonyms of the word derivative?

Accepted Answer

gradient/slope/rate of change

Answer

maximum/minimum/constant

Answer

gradient/slope/increase/decrease

Answer

turning point/critical point/stationary point

Question 2

Cinsider the function y=x² -4x+2. What is its derivative?

Accepted Answer

y‘=2x-4

Answer

y‘=2x-4+2

Answer

y‘=2x²-4x+2

Answer

y‘=4x

Question 3

What is the value of the derivative of $y=x^2-\frac{3}{x}$ at the point where x=1?

Accepted Answer

5

Answer

6

Answer

4

Answer

3

Question 4

What is the equation of the line tangent to $y=x^2-\frac{3}{x}$ at the point (1, -2)

Accepted Answer

Answer

Answer

Answer

Question 5

For what positive value of x is the derivative of $y=x^2-\frac{3}{x}$ equal to -36?

Accepted Answer

2

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