Question

Find the derivative of the function. y= 2x+3
5x−2
The derivative is y ′
=

Answer 1

To find the derivative of the equation, we utilize the power rule, which states that the derivative of x^n with respect to x is n*x^n-1.

The equation is y = 2x + 2 * 5x - 2.

Taking the derivative:
- For the first term in the equation, "2x", the derivative with respect to x is 2.
- For the second part, "15x", applying the power rule, since the power of x is 1, the derivative with respect to x is 15.
- For the constant "-2" the derivative with respect to x is 0, because derivatives of constants are always 0.

Now, if we add these all together, we get the derivative of the whole function: 2 + 15 = 17.

So, the derivative of the function y = 2x + 15x - 2 with respect to x is 17.