Two angles are complementary. Angle A Is (2x+20) and angle B is (3x+10). Find the value of x and the measure of each angle
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We have been given the expression to be
Since we need to find the tangent at a point, we will have to find the derivative of as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find
We will use the product rule of derivatives to find
Thus, (using the product rule which states that
)
Taking the common factors out we get:
Thus, at
is given by:
=Slope of the tangent of y at x=4=
Thus,
Now, the equation of the tangent line which passes through and has slope m is given by:
Thus, the equation of the tangent line which passes through and has the slope 185 is
Which can be simplified to
Thus,
This is the required equation of the tangent.