Saturday

January 31, 2015

January 31, 2015

Posted by **Jake** on Saturday, February 18, 2012 at 1:33pm.

1. For what value(s) of x does f(x)=(x^2-16)^5 have a horizontal tangent?

a) x=-4,4

b) x=-4,0,4

c) x=0

d) x=0,4

Answer is B, x=-4,0,4

---------------------------------------

2. What is the derivative of f(x)=(3x^2+7)^3?

a) f'(x)=3(3x^2+7)^2

b) f'(x)=18(3x^2+7)^2

c) f'(x)=18x(3x^2+7)^2

d) f'(x)=3(3x^2+7)^2

Answer: C

---------------------------------------

3. What is the y-intercept of the line that is tangent to f(x)=4/(3x+1) at (-1,-2)?

a) -5

b) -3/4

c) 3/4

d) -2

Answer: B

-------------------------------------

4. For which point(s) on the graph of f(x)=5x/(x+2) is the slope of the tangent 2/5?

a) (-3,15)

b) (7, 35/9)

c) (3,3) and (-7,,7)

d) (24, 60/13)

Answer is C

----------------------------------

- Calculus-derivatives -
**Damon**, Saturday, February 18, 2012 at 5:07pmI am only going to do one of them. That should give you the idea.

1. For what value(s) of x does f(x)=(x^2-16)^5 have a horizontal tangent?

---------------------------------

when is dy/dx = 0?

dy/dx = 5 (x^2-16)(2x)

when is that zero

When x = 0 obviously but also when

x^2 = 16

that is when x = 4 or x = -4

so

-4 , 0 , +4

a) x=-4,4

b) x=-4,0,4

c) x=0

d) x=0,4

Answer is B, x=-4,0,4

**Answer this Question**

**Related Questions**

Calculus (derivatives) - Find the points on the graph of f where the tangent ...

math - question: find the points at which the graph of x^2 -4x + y62 -6y =12 has...

calculus - Find a function f such that the curve y = f(x) satisfies y'' = 12x, ...

Calculus-derivatives - Verify if these are correct answers. 1. The derivative of...

Calculus - Find the positive value of x where fx=x3+2x1/3 has a horizontal ...

Calculus - Given the function y=(x^2-5/x+3), answer the following questions. a) ...

Calculus - Verify if correct or not please =) What is the slope of the normal to...

calculus - For what values of x does the graph of f have a horizontal tangent? (...

cal - Determine all values of x, (if any), at which the graph of the function ...

calculus - For what values of theta, on the polar curve r=theta, 0<=theta<...