Question

Critical Points?
\[(2x-5^{3})(x+4^{2})\]

Answer 1

Did you take the derivative?

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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