# calculus

posted by maura

Differentiate the function.
y = (Square root x)(x − 10)

1. Reiny

use the product rule on

y = (x^(1/2))(x-10)
dy/dx = x^(1/2) (1) + (1/2)x^(-1/2) (x-10)
= (1/2) x^(-1/2) ( 2x + x-10)
= (3x-10)/(2√x)

2. michelle

Thank you so much! I didn't think to use the product rule.

## Similar Questions

1. ### calculus

6. What is the derivative of y = square root of 3x ?
2. ### calculus

Find the limit. lim h → 0 square root (49 + h) − 7 / h Note: Only 49 +h are under square root.
3. ### Trigonometry

Given the rectangular-form point (–1, 4), which of the following is an approximate primary representation in polar form?
4. ### Algebra

Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed …
5. ### Calculus

square root of (12), square root of (12 + square root of (12)), square root of (12+ square root of (12+ square root of (12))) Write a recursion formaula for an(subcription), n greater than or equal to 2.
6. ### Math simplifying mixed radicals

Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed …
7. ### college pre-calculus

simplify: square root (4/3)-square root (3/4) A. 2-sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer?
8. ### precal

Use rationalization to simplify the given expression in part (a). Then find the indicated limit in part (b). (a.) 3y2/(the square root of (y2 + y + 1))−(the square root of (y + 1)) b.)lim y>0 3y2/(the square root of (y2 + …
9. ### Calculus

A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum?
10. ### calculus

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) …

More Similar Questions