Find the equation of the line tangent to the graph of y = sin^-1 (x/5) at x = 5/2. Show your work.

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

Simplify:

We can factor out the denominator within the square root:

Simplify:

So, we can find the slope of the tangent line at x = 5/2. By substitution:

Evaluate:

We will also need the point at x = 5/2. Using our original equation, we acquire that:

So, the point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

Distribute:

Isolate. Hence, our equation is:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation: