I found some questions in which i have doubts. Please answer in detail along with graph.

And first question that i pointed with black circle, please give detailed explanation along with diagram or graph and include examples so that it will be easy for me to learn.

If you provide typing work then it will be much better to learn because sometimes handwriting becomes difficult to learn and understand.

?

Why might one prefer to use the logarithmic differentiation for finding derivatives of functions that have another function as an exponent? Explain in detail and also include examples 4. Determine if G(z) = (z - 6) Inz is increasing or decreasing at the following points. Include desmos graph (a) z=1 (b) z=5 (c) z=20 7. Find the derivative for the function f(x) = (x) Include desmos graph 3. Find the tangent line to f (@) = 7* + 4e" atx =0 Include desmos graph