Question

find the equation of the derivative function
y=0.3x^2-8x+4

Answer 1

Oh, you want to find the derivative of this function, right?

Answer 2

In other words, \(\large \rm y'\).
Do you know how to find the derivative of the function you're given?

Answer 3

no o:

Answer 4

Do you know the power rule?

Answer 5

nx^n-1

Answer 6

Yep... so can you use the power rule here?

Answer 7

i dont think so

Answer 8

Yes, you can.

Answer 9

Can I give you an example?

Answer 10

mhmm

Answer 11

For example, you have to find the derivative function of\[\rm \large y = 3x^2 + 7x -4\]For that, you have to use the Power Rule term by term.
First, find the derivative of \(\rm 3x^2\), then \(\rm 7x\) and finally \(\rm -4\).

The derivative of \(\rm 3x^2 =2\times3x^{2 - 1} = 6x\)
The derivative of \(\rm 7x^1=1\times 7x^{1 - 1} = 1 \times 7x^0 = 1 \times 7 \times 1 = 7\)
The derivative of \(\rm -4 = 0\) because the derivative of a constant is 0.

So, the derivative of this whole thing can be written as\[\rm \large y'=6x +7 -0 = 6x + 7\]Got it?