Math  /  Calculus

QuestionFind the derivative of yy with respect to xx. y=ln(x12)dydx=\begin{array}{l} y=\ln \left(x^{12}\right) \\ \frac{d y}{d x}=\square \end{array}

Studdy Solution
Differentiate y=12ln(x) y = 12 \ln(x) with respect to x x :
The derivative of ln(x)\ln(x) with respect to x x is 1x\frac{1}{x}.
dydx=121x \frac{d y}{d x} = 12 \cdot \frac{1}{x}
The derivative of y y with respect to x x is:
dydx=12x \frac{d y}{d x} = \frac{12}{x}

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