cello10
cello10 cello10
  • 13-08-2017
  • Mathematics
contestada

If f and g are differentiable functions for all real values of x such that f(1) = 4, g(1) = 3, f '(3) = −5, f '(1) = −4, g '(1) = −3, g '(3) = 2, then find h '(1) if h(x) = f(x) g(x).

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If f and g are differentiable functions for all real values of x such that f1 4 g1 3 f 3 5 f 1 4 g 1 3 g 3 2 then find h 1 if hx fx gx See attached class=

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caylus
caylus caylus
  • 13-08-2017
Hello,

h(x)'=(f(x)*g(x))'=f'(x)*g(x)+f(x)*g'(x)
h(1)=f'(1)*g(1)+(f(1)*g'(1)=-4*3+4*(-3)=-24
Answer B

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