anonymous 5 years ago Critical Points? $(2x-5^{3})(x+4^{2})$

1. anonymous

Did you take the derivative?

2. anonymous

$f \prime (x)= 6(2x-5)^{2} + (x+4) ^{2} + 2 (2x-5)^{3} (x+4)$

3. amistre64

5^3 and 4^2 are constants did you account for that?

4. amistre64

f'(x) = 2(x+4^2) + (2x-5^3)(1)

5. anonymous

$(2x-5^3)(x+4^2)$ $=2x^2 + 2(4^2)x - 5^3x -20$ $\frac{d}{dx}[2x^2 + 8x - 5^3x -20]$ $= 4x + 2(4^2) - 5^3 - 0$ $=4x + 32 - 125$ $= 4x - 93$