Please help me with this problem! If you could please graph it that would be awesome!
1 answer:
The graph of the function is drawn. The open circle at -1 and 4 for -2x + 3.
The complete question is attached below.
<h3>What is a piecewise function?</h3>The function that is transformed into the number of pieces is known as piecewise function.
The piecewise function is given below.
The graph of the function is drawn.
The open circle at -1 and 4 for -2x + 3.
More about the piecewise function link is given below.
#SPJ1
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This question is incomplete, the complete question is;
Suppose u and v are functions of x that are differentiable at x=0
and that { u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
Find the values of the following derivatives at x = 0.
a) ( uv )
b) (
)
c) (
)
Answer:
a) ( uv ) = -23
b) (
) = 33
c) (
) = -32/49 or - 0.6531
Step-by-step explanation:
Given that;
{ u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
a)
( uv )
we differentiate
( uv ) = uv' + vu'
at x = (0), we substitute our values
( uv ) = ( 7 × -4 ) + ( -1 × -5)
( uv ) = -28 + 5
( uv ) = -23
b)
(
)
we differentiate
(
) = ( vu' - uv' ) / v²
at x=0, we substitute our values
(
) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²
(
) = (( 5 - ( -28 )) / 1
(
) = 33 / 1
(
) = 33
c) (
)
we differentiate
(
) = ( uv' - vu' ) / u²
at x=0, we substitute our values
(
) = ( (7 × -4) - (-1 × -4) ) / (7)²
(
) = ( -28 - ( 4 ) ) / 49
(
) = ( -28 - 4 ) /49
(
) = -32 / 49
(
) = -32/49 or - 0.6531