answer to a,b,c,d

Question

1. Continue to consider the function f (x) = 1/3^x2 − 5x.
2. (a) Use the limit definition of the derivative to find the value f′(3). Be sure to use proper limit notation and write out every step.
3. (b) In part (a) there is a step where you used continuity. Where did you use continuity? Explain.
4. (c) Find an equation of the tangent line to the graph of the function f at x = 3.

(d) Draw the graph of the function f and the tangent line to graph of the function f

at x = 3. Clearly label the function, the tangent line, and the point of tangency.

Answer 1

Hi,

Please make clear which form of functions your meaning is???

 f (x) = 1/3^x2 − 5x. = (1/3)^x2 − 5x or (1/3)^2x− 5x or 1/3 *x² − 5x

derivative of them are completely

I would like to help you, but I am not sure your mean is which function.

Minoo