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Use the lim f(x)-f(a)/x-a to find the derivative. x->a f(x)=-3x^2-5x+1 and point (1,-7)
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Dec 20, 2017
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Use the lim f(x)-f(a)/x-a to find the derivative.
x->a
f(x)=-3x^2-5x+1 and point (1,-7)
Mathematics
high-school
Adam Nowak
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Hello,
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
Falgantil
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Dec 25, 2017
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Falgantil
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