If \u03b1 \u03b2 and \u03b3 are constants such that the function f x braceleftbigg \u03b1x 2 \u03b2x \u03b3 x

If α β and γ are constants such that the function

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6. Ifα,βandγare constants such that the functionf(x) =braceleftbiggαx2+βx+γx <02 cosx+ tanxx0is differentiable everywhere up to the second order, thenf(1) isequal toa) 0b)1c)2d) 1e) 3
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Math 101-T113 ( Exam II )Page4 of 10MASTER7. Find the derivative off(x) =ln(cos 4x)1 +xatx=π28. Ify=t2t+ 2 andx=t3+t, then the value ofdydx|t=1is equal to
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Math 101-T113 ( Exam II )Page5 of 10MASTER9. What is the slope of the tangent line to the curvex+24cos(xy) =y2+π2at the pointparenleftbiggπ2,12parenrightbigg10. Find limx0(1 + 3x)12x=a)e32b)e23c)e2d)e3e)e12
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Math 101-T113 ( Exam II )Page6 of 10MASTER11. Find the derivative ofy= (sinx)csc3xatx=π6.[Hint: Use Logarithmic differentiation]325(1 + 3 ln 2)328(3 + ln 2)
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