Thursday

July 24, 2014

July 24, 2014

Posted by **Steff** on Tuesday, June 14, 2011 at 10:10pm.

1) Find the derivative.

f(x)=3x^5/4 - 8/9x^9/8 + x^2 - 9x + 1

Answer: f’(x)= 15/4x^1/4 - x ^1/8 + 2x -9

2) Let f(x)= 7x^3 - 9x. Find f’(5)

Answer: f’(x)=21x^2-9

f’(5)=516

3) Find the given limit by evaluating the derivative.

lim h⇒0 5(7+h)^2 - (7+h)-238

Answer: 69

4) Find the slope and an equation of the tangent line to the graph of the function f at the specified point.

f(x)=-1/3x^2+5x+5: (-1, -1/3)

Answer: f’(x)=-2/3x + 5

y=-2/3x -1

- Derivative Calculus -
**bobpursley**, Tuesday, June 14, 2011 at 10:58pmcorrect.

- Derivative Calculus -
**Reiny**, Tuesday, June 14, 2011 at 11:10pmfor #4 I get a slope of 17/3 not -2/3

(-2/3)(-1) + 5 = 17/3

- Derivative Calculus -
**Steff**, Wednesday, June 15, 2011 at 7:15amThanks. I will check my answer.

**Related Questions**

Calculus--> bobpursley - How do you get m=0? from taking the second ...

Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...

Calculus - R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I ...

calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...

Calc - a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx...

Calculus - I need to find the second derivative of y=x(x-1)^1/2. I found the ...

CALCULUS HELP - Find the second derivative for the function 5x^3+60x^2-36x-41 ...

Calculus - An airplane flies at an altitude of 5 miles toward a point directly ...

Calculus - I need to find the slope of the graph of the function at the given ...

math derivative please help - the derivative of 2x^e is zero right or no? do i ...