Find , given that .
Find the first derivative of with respect to .
Differentiate the function .
Find the first derivative of the function .
Find the third derivative of the function .
Given that the function , and , find the value of .
Given that , determine .
If , and , find .
Find the first and second derivatives of the function .
List the equations of all the tangents to that also lie on the point .
Find the point on the curve at which the tangent to the curve is parallel to the -axis.
Find the point that lies on the curve , at which the tangent to the curve is perpendicular to the straight line .
If the line is tangent to the graph of the function at , what is ?
Find the positive angle that the tangent to at makes with the positive -axis, giving your answer to the nearest second.
The curves and have a common tangent at . Find , , and .
Find the equation of the tangent to the curve at the point .