find y' a. y= e^(2x/3) b. y= ln (x^2 +10) c. y= tan^2(3x+5)
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use the definition f ' (a)=limx->a f(x)-f(a)/x-a to find the derivative of the given function at the indicated point. f(x)=-6/x, a=10
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Use a linear approximation to estimate (28)^(1/3)
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Find the slope of the tangent line to the graph at the given point (x^2+4)y=8 (2,1)
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a rectangle has its base on the x-axis and its upper two verticies on the parabola y= 12-x^2. What is the largest area the rectangle can have, and what are its demensions?
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Use analytic methods to find the extreme values of the function on the interval and where they occur. g(s)=e^-x , -1
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Find the derivative for the following
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Local Linear Approximation
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how to find the tangent line of this function?
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Use linear approximation, i.e. the tangent line, to approximate sqrt(36.4) as follows: Let f(x)=sqrt(x). The equation of the tangent line to f(x) at x=36 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for sqrt(36.4) is NOTE: For this part, give your answer to at least 9 significant figures or use fractions to give the exact answer.
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