Monday

December 22, 2014

December 22, 2014

Posted by **steven** on Tuesday, May 28, 2013 at 5:30pm.

f'(x) = x sqrt 16 − x^2

.

f(x) =

- math calculus -
**Reiny**, Tuesday, May 28, 2013 at 8:49pmDid you mean

f'(x) = x√(16-x^2) ??? , brackets are needed here.

then f(x) = (-1/3)(16 - x^2)^(3/2) + c

(differentiate to confirm)

if x = 4/3 , f(4/3) = 0

0 = (-1/3)(16 - 16/9)^(3/2) + c

solve for c and sub back into f(x) =

**Answer this Question**

**Related Questions**

math calculus - Find the equation of the function f whose graph passes through ...

math - find the exponential function of the form y=ab^x whose graph passes ...

Calculus-Mean Value Theorem - Find the function G(x) whose graph passes through...

Math-Logarithmic function - Find the equation of a logarithmic function whose ...

Math-Logarithmic function - Find the equation of a logarithmic function whose ...

Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...

Math - 1. Write a quadratic function in intercept form whose graph has the given...

algebra - 3. write the function whose graph is the graph of y=sqrt of x, but is ...

Calculus - Find an equation of the tangent line to the graph of the function f ...

Math - Find the quadratic function that has the indicated vertex and whose graph...