# How do you find equations for the lines that are tangent and normal to the graph of #y=secx# at #x=pi/4#?

We now find the derivative.

We can now find the slope of the tangent.

The equation is therefore:

Hopefully this helps!

By signing up, you agree to our Terms of Service and Privacy Policy

To find the equations for the lines that are tangent and normal to the graph of y=secx at x=pi/4, we need to determine the slope of the tangent line and the normal line at that point.

First, we find the derivative of y=secx using the chain rule, which is dy/dx = secx * tanx.

Next, we substitute x=pi/4 into the derivative to find the slope of the tangent line at that point. The slope is dy/dx = sec(pi/4) * tan(pi/4).

To find the slope of the normal line, we take the negative reciprocal of the tangent line's slope. The slope of the normal line is -1 / (sec(pi/4) * tan(pi/4)).

Using the point-slope form of a line, we can write the equations for the tangent and normal lines. The equation for the tangent line is y - sec(pi/4) = (sec(pi/4) * tan(pi/4))(x - pi/4), and the equation for the normal line is y - sec(pi/4) = (-1 / (sec(pi/4) * tan(pi/4)))(x - pi/4).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you use the definition of a derivative to find the derivative of #f(x) = x + sqrtx#?
- What does average rate of change tell you about a function?
- How do you find the average value of a function #f(x)=(x-1)^2# on the interval from x=1 to x=5?
- How do you find the equation of the tangent line to the graph #f(x)=ln((e^x+e^-x)/2)# through point (0,0)?
- How do you find the equation of the line tangent to the graph of y=sin x at the point where x=pi/3?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7