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For fx +8 for the followirgA)6)B.Slape of the graph ot tat xa-Equation of the targent line at X-Valuels) of x wrereaantne is horizonta

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For fx +8 for the followirg
A)6)
B.Slape of the graph ot tat xa-
Equation of the targent line at X-
Valuels) of x wrere
aant
ne is horizonta
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For fx +8 for the followirg A)6) B.Slape of the graph ot tat xa- Equation of the targent line at X- Valuels) of x wrere aant ne is horizonta

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Step 1

a)To find the derivative of f(x) , we use the result that derivative of x^n is n*x^(n-1)

f(x) x-4x38
f(x) 4x3-12x2
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f(x) x-4x38 f(x) 4x3-12x2

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Step 2

b)To find slope m of graph at x=-1 , we substitute x=-1 in f'(x)

f'(x) 4x3 -12x
m f(-) 4(-)-12(-1) -4-1=-16
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f'(x) 4x3 -12x m f(-) 4(-)-12(-1) -4-1=-16

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Step 3

c)Now we find the value of y ...

y ()4
8 = 1+4+8 13
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y ()4 8 = 1+4+8 13

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Tagged in

Math

Calculus

Derivative

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