1 - If f(x) = [e x + ln(x)] -13 , what is f \'(x)? -13[e x + ln(x)] -12 [e x + (

Question

1 - If f(x) = [ex + ln(x)]-13, what is f '(x)?

-13[ex + ln(x)]-12[ex + (1/x)]

-13[ex + (1/x)]-12[ex + ln(x)]

-13[ex + ln(x)]-14[ex + (1/x)]

-13[ex + (1/x)]-14[ex + ln(x)]

None of These

2 - If g(x) = (2 + 3x + x1/2)(5 - x + x1/4), what is g '(16)?

-486

-2547/32        

387/16

5289/256

None of These

4t3[3 / (3t + 5)]

4t3 / (3t + 5)

(t4)[ 3 / (3t + 5) ] + [ln(3t + 5)](4t3)

(t4)(4t3) + [ln(3t + 5)][ 3 / (3t + 5) ]

None of These

-13[ex + ln(x)]-12[ex + (1/x)]

-13[ex + (1/x)]-12[ex + ln(x)]

-13[ex + ln(x)]-14[ex + (1/x)]

-13[ex + (1/x)]-14[ex + ln(x)]

None of These

Explanation / Answer

(a) -13[ex + ln(x)]-14[ex + (1/x)]

(b) -2547/32

(c) (t4)[ 3 / (3t + 5) ] + [ln(3t + 5)](4t3)

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