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cc If f (y) = (8y + 9) (10y +11), then find f ′ (y).
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| cc If g(p) = (6p + 8) (9p2 + 10), then find g′ (p). cc |
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| cc If f(x) = x+5, g(x) = x+4, then find ddx(f(x)g(x)). cc |
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cc If f(z) = (3z + 2), g(z) = (4z + 3) and h(z) = (5z + 4), then find ddz(f(z)g(z)h(z)).
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| cc If r = (4t + 5)3(6t + 7)3, find drdt|t = 0 cc |
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| cc If f(p) = 4p2 + 5p + 3, g(p) = 6p2 + 7p + 2, then find ddp(f(p)g(p)). cc |
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cc If m = x(5x2+6x-4), then find (dmdx|x = 16).
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| cc If f (s) = s45s5+6s+7, then find (5s5 + 6s + 7)2 f ′ (s). cc |
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cc One leg of a right triangle is 27cm. If the other leg is increasing at 5cm/sec, then find the rate of increase in its hypotenuse when the length of the changing leg is 36cm.
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cc If g(t) = (4t + 5)13 + (7t + 8)9, then find g ′ (t).
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| cc If f (x) = 2x2+3x+46x2+4x+5, then find f ′ (x).
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| cc If f (n) = 7n2+56n2+8, then find (6n2 + 8)2 f ′ (n). cc |
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| cc If h(p) = p + 17p + 8, then find h′ (p). cc |
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cc If w = 2n+34n2+5n+6, then find (4n2+5n+6)2dwdn.
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cc If h(z) = 6z + 78z + 9, then find (8z + 9)2 h′(z).
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cc If f(x) = 2x + 3 and g(x) = x5, then find (gof ) ′ (x).
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