please help me with these i cant understand any of these.. 1) Use logarithmic di
ID: 2972713 • Letter: P
Question
please help me with these i cant understand any of these.. 1) Use logarithmic differentiation to find dy/dx. y = x^8/x 2) Evaluate the expression without using a calculator. log16(8) 3) Find the derivative of the function. f(x) = 4x 4)Find the derivative of the function. y = 6^(?3x) 5) Find the derivative of the function. y = log8(x^2 ? 3x) 6) Find the derivative of the function. f(t) = t^(3/2) log4(sqrt(t + 8)) 7) Find an equation of the tangent line to the graph of the function at the given point. y = x^(sin(x)), (?/2, ?/2) 8) Find the integral. I= 3^(?x)dx 9) Find the integral. I=(x^6 + 7^(?x))dx 10) Find an equation of the tangent line to the graph of the function at the point (8, 1). y = 3^(x ? 8)Explanation / Answer
Answer(1) y= x^8 / x = x^7 => dy/dx = 7x^6 (2) log16(8 ) =1/2 log8(8)=1/2 if 16 is base; log16(8)=log(16*8)=log(2^7) = 7log(2) (3) f(x)= 4x => f'(x) = 4
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