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Find f(1)' If u know that
g(1)=1 , g'(1)= -1
h(1)= -2 , h'(1) 3


Find f(1)' If u know that g(1)=1 , g'(1)= -1 h(1)= -2 , h'(1) 3 ​-example-1

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Explanation:


f(x) = g(x)h(x)

Taking the derivative of f(x), we get


f'(x) = g'(x)h(x) + g(x)h'(x)

Then
f'(1) becomes


f'(1) = (-1)(-2) + (1)(3) = 5

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