Question
Asked Nov 5, 2019
a. For the function and point below, find f'(a)
b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a
f(x)
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a. For the function and point below, find f'(a) b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a f(x)

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check_circleExpert Solution
Step 1

Given:

1
4
f(x)=
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1 4 f(x)=

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Step 2

Part(a):

Differentiating the given function with respect to ‘x’:

d
d
4
(x))=
dx
d
f(x) 4
dx
f"(x)=4
2
f'(x)=4
ro-
-(1)
x
лonlo)
f(x)=-2x
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d d 4 (x))= dx d f(x) 4 dx f"(x)=4 2 f'(x)=4 ro- -(1) x лonlo) f(x)=-2x

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Step 3

Now to find value f&rs...

f(a)
1
f'(a)-2
1
f'(a) 2
(-3)
92
1
f'(a)= -2
f'(a)= 2x (3)
f'(a)=-2x 27
f'(a)=-54
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f(a) 1 f'(a)-2 1 f'(a) 2 (-3) 92 1 f'(a)= -2 f'(a)= 2x (3) f'(a)=-2x 27 f'(a)=-54

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Tagged in

Math

Calculus