For , determine…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For g(x)=7⋅5x−ln⁡(3x−4)g(x)=7\cdot5^{x}-\ln(3x-4), determine g′(2)g'(2). (a) 175ln⁡5+32175\ln 5+\dfrac{3}{2} (b) 25ln⁡5−3225\ln 5-\dfrac{3}{2} (c) 175ln⁡5−32175\ln 5-\dfrac{3}{2} (d) 175ln⁡5−12175\ln 5-\dfrac{1}{2}

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