Question

Question #31152

Answer 1

`dy/dx=tan(x)`

Explanation:

Take the derivative of each term. The derivative of `4` is zero, since it is a constant. To take the derivative of `ln(sec(x))`, we must use the chain rule, multiplying by the derivative of the outside by the derivative of the inside like so:

`dy/dx=1/sec(x)*d/dx(sec(x))`

Evaluate the the derivative of `sec(x)`.

`dy/dx=1/sec(x)*sec(x)tan(x)`

Simplify:

`dy/dx=1/cancelsec(x)*cancelsec(x)tan(x)`

`dy/dx=tan(x)`