Explanation: To solve a derivate we can use a simple technique presented below
- First, we take the exponent and multiply it by the function. Second, we subtract a unit of the exponent. Let's visualize it better on the drawing below
Step 1: Now we can use the same concept to calculate all the derivates we need as follows
Final answer: So the final answers are
[tex]\begin{gathered} letter_{\text{ }}a=5x^4 \\ letter_{\text{ }}b=20x^3 \\ letter_{\text{ }}c=60x^2 \\ letter_{\text{ }}d=120x \end{gathered}[/tex].