Mathematics
28.03.2020 11:35
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Show that the curve y = 4 x 3 + 7 x − 5 y=4x3+7x-5 has no tangent line with slope
Show that the curve y = 4 x 3 + 7 x − 5 y=4x3+7x-5 has no tangent line with slope 2 2. y = 4 x 3 + 7 x − 5 ⇒ m = y ' = y=4x3+7x-5⇒m=y′= Preview , but x 2 x2 0 0 for all x x, so m ≥ m≥ for all x x.
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laza87
4,8(20 marks)
The statement is true (see Step-by-step explanation).
Step-by-step explanation:
The slope of the tangent line for all point of the curve is determine by derive the expression abovementioned in the statement:
The previous expression represents a parabola, whose output will be positive for all 
due to the symmetry of 
and the positive coefficients of the polynomial. If the function is evaluated at 
, where the minimum occurs, it is evident that the smallest value is 
. Therefore, the inexistence of any tangent line with slope 2 associated with that curve is true.
simreg5230
5,0(19 marks)
y=-5/4x+1/4
Step-by-step explanation:
This should help. Remember, God loves you.
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