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

(2,9)

i think thats the answer i checked it on google

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step-by-step explanation: