Acurve has equation y=x√x. find the equation of the tangent to the curve at the point(1, 5)

y - 5 = (x - 1)

Step-by-step explanation:

Note that =

Differentiate using the power rule

(a) = na

Given

y = x = x. = , then

=

When x = 1

= . 1 =

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = and (a, b) = (1, 5), thus

y - 5 = (x - 1) ← equation of tangent

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

111

step-by-step explanation: