Use logarithmic differentiation or an alternative method to find the derivative of the function. y = (cos 8x)x

answer

explanation

take the natural logarithm of both sides

use logarithm law

    ln(xⁿ) = n ln(x)

to bring the x exponent down.

implicitly differentiate both sides with respect to x

use the chain rule and product rule

since y = (cos 8x)ˣ, substitute that in so that we have dy/dx in terms of x  

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