firstly chain rule is dy/dx = dy/du * du/dx
a) y = 5u² + u - 1 hence dy/du = 10u +1
u = 3x +1 hence du/dx = 3
so dy/dx = 3(10u +1) {sub in u and expand}
b) y= u^-2 hence dy/du = -2u^-3
u=2x+3 hence du/dx = 2
so dy/dx= 2(-2u^-3) {sub in u}
Answer:
infinite solutions
Step-by-step explanation:
Given
x + 3 + 2x = 4 + 3x - 1 ( simplify both sides )
3x + 3 = 3x + 3
Since the equation is the same on both sides.
This indications the equation has an infinite number of solutions
The complement of 45° is the angle that when added to 45° forms a right angle(90°) 90°-45 =45
