A. Give your own example of an equation containing the variables x and y and which cannot be solved for y. For this example, differentiate both sides implicitly. HINT: you might try an equation containing trig functions of both x and y, or an equation that contains several terms that feature powers of y.

B. We derived the definition of the derivative from the formula for the slope of a line. When we say that the derivative of a function is theslope of the line tangent to the functionat that point, what do we mean?

C. Let f(x) be a differentiable function of x. Give your own example of a function, f, for which it is necessary to use the Product Rule or Quotient Rule of differentiation.

D. Find the derivative of g(x) = sin(cos(Ln(3x))). What rule of differentiation did you need to use here? How many times did you have to use it? Was this problem difficult for you, or not so bad?

Please no image, you have to write it.