Consider the function
If the gradient of the tangent of the function at can be expressed as where and are coprime positive integers, what is the value of .
Find the value of .
Note that we didn't give you the base of the logarithm, you should not specifically assume that the logarithm is in base or 10.
If , then
Which of the given equations is the common tangent to the circle and the parabola touching both the conics above the -axis?
Consider the function
Determine the value of