Use logarithmic differentiation to determine the derivative. Use logarithmic dif
ID: 2837452 • Letter: U
Question
Use logarithmic differentiation to determine the derivative.
Use logarithmic differentiation to determine the derivative.
1.Let y'= y = ( sin x)^x y'= 6.Let y = x^{cos x} f'( x ) = 5. Let f(x) = x^{5 x} Use logarithmic differentiation to determine the derivative. y' = 4.Let y = (7 x + 3)^{4} (x^4 - 9)^{9} Use logarithmic differentiation to determine the derivative. f'( x ) = 3.Let f(x) = 6^{cos(3 x)} ln { frac {u}{v}} = ln{u} - ln{v} 2.Let ln { sqrt {u}} = frac {1}{2} ln{u} f(x)using the following formulas: f'( x ) = : Before taking the derivative, you may simplify f(x) = ln { sqrt { frac { 4 x + 2 } { 3 x - 7 } } }Explanation / Answer
1.1/2[(4)/(4x+2)-(3)/(3x-7)]
2.log(6)sin(3x)(-2^cos(3x))3^(cos(3x)+1)
3.(7x+3)^4(x^4-9)^9[(28)/(7x+3)+(36x^3)/(x^4-9)]
4.x^(5x)[5+5log(x)]
5.x^(cos(x))[(cosx)/(x)-sin xlogx]
6.(sinx)^x[xcotx+log(sinx)]
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