Math  /  Calculus

QuestionDifferentiate. y=ln[e6x(x5+4)(x8+3x)]ddx[ln[e6x(x5+4)(x8+3x)]]=\begin{array}{c} y=\ln \left[e^{6 x}\left(x^{5}+4\right)\left(x^{8}+3 x\right)\right] \\ \frac{d}{d x}\left[\ln \left[e^{6 x}\left(x^{5}+4\right)\left(x^{8}+3 x\right)\right]\right]= \end{array}

Studdy Solution
Simplify the expression if possible. However, in this case, the expression is already in a simplified form.
The derivative of the given function is:
dydx=6+5x4x5+4+8x7+3x8+3x \frac{dy}{dx} = 6 + \frac{5x^4}{x^5 + 4} + \frac{8x^7 + 3}{x^8 + 3x}

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