Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before differentiating compare your results as check. Use a graphing calculate to check your results. g ( x ) = ( 4 x − 3 ) ( 2 x 2 + 3 x + 5 )
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before differentiating compare your results as check. Use a graphing calculate to check your results. g ( x ) = ( 4 x − 3 ) ( 2 x 2 + 3 x + 5 )
Solution Summary: The author calculates the derivative of the function, gprime (x) using the product rule and power rule.
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before differentiating compare your results as check. Use a graphing calculate to check your results.
g
(
x
)
=
(
4
x
−
3
)
(
2
x
2
+
3
x
+
5
)
Formula Formula d d x f − g = d d x ( f ) − d d x ( g )
=
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0
Ne
Na
Ny
35 57.8 41.4 42.4
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2 6.5 9.5 13 18 25
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0
estigate shear
12%
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