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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem For x > 0 x>0 x > 0 d d x [ x x ( ln x ) 4 ] \dfrac{d}{dx}\bigl[x^{x}(\ln x)^{4}\bigr] d x d [ x x ( ln x ) 4 ] x x ( ln x ) 4 ( ln x + 4 x ln x ) x^{x}(\ln x)^{4}\left(\ln x + \dfrac{4}{x\ln x}\right) x x ( ln x ) 4 ( ln x + x ln x 4 ) x x ( ln x ) 4 ( ln x + 1 ) x^{x}(\ln x)^{4}\left(\ln x + 1\right) x x ( ln x ) 4 ( ln x + 1 ) x x ( ln x ) 4 ( 1 + 4 x ln x ) x^{x}(\ln x)^{4}\left(1 + \dfrac{4}{x\ln x}\right) x x ( ln x ) 4 ( 1 + x ln x 4 ) x x ( ln x ) 4 ( ln x + 1 + 4 x ln x ) x^{x}(\ln x)^{4}\left(\ln x + 1 + \dfrac{4}{x\ln x}\right) x x ( ln x ) 4 ( ln x + 1 + x ln x 4 ) Browse the problem library