Question

Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.) Ax) - -5xvx+I x A

Answer 1

given fro= -5x √x+1 Point (-23, 1953) To find value of derivative at giynestrooma: we have f(x) = -5x Jx+1 y = 500 acti Difterentiate both side with respect to å using product rule of differentiation x 9 sati & sati doo doc dx dac xxl + Sxtixi dy dx = -5 2rxti dy dac -5 + XH 2Sxti 5 x + 2(x+) ox 2 xt) x+ 2x+2 dy doc -5 2 2 √x+1 du -5 3x+2 2 √x+) doc

Now oot 2003 9 32 SX-3 +2 3 dac 2 223+ dy dz - 2+2 2 + dy dac je fex) = 0 at 6, los Answer meons slope of tangent line at this paint is zero