Question

3ln(5if y = arctan(7x), then what does dy equal?

A) 3cos(7x)
B) 21x
C) 7/(1 + 49x²)
D) ln(5)

Answer 1

To find dy given that y = arctan(7x), we differentiate both sides of the equation using the chain rule to find that dy/dx = 1 / (1 + (7x)^2).

Step-by-step explanation:

To find dy given that y = arctan(7x), we need to differentiate both sides of the equation. The derivative of arctan(7x) is 1 / (1 + (7x)^2), using the chain rule. So, dy/dx = 1 / (1 + (7x)^2). This is equivalent to option C) 7 / (1 + 49x^2).