Question

find dy/dx when y = x^3+5x^2-x​

Answer 1

Explanation:

See the above solution.

Answer 2

1) dy/dx is asking to differentiate y=x3+5x+3 with respect to x

Differentiating we multiply by the current power and lower this powers value by 1. ( Constants differentiate to nothing )

i.e x3 goes to 3x2

dy/dx= 3x2+5

2) Next we need to find the value of dy/dx when x=3 done simply by substituting all x's in the equation by 3

dy/dx= 3*(3)2 + 5 = 32