00:01
Now, f of x given to assess 3, sine inverse x minus 4, and we have to find the equation of tangent of clang to the given 4 function, and represent it in slope intercept form at x equals to 4.
00:14
So we need slope first to find slope.
00:17
We have to differentiate our function.
00:19
So, i have dash of x.
00:20
Now 3 is constant, so it will remain as it is.
00:22
Differentiation of sine inverse x is 1 over root of 1 minus x square where our x is this entire function and then differentiation of into differentiation of x minus 4 which is 1 so we get 3 over root of 1 minus x minus 4 whole square now this is our f dash of x but we need slope value at x equals to 4 so f -dice of 4 is equals to 3 over root of 4 minus 4 is 0.
00:55
So we are left with 1.
00:56
So this is equal to 3.
00:58
And this is nothing but our slope m.
01:01
Now we need the point or intercept form.
01:05
So let's find the point first...