The derivative of a function, such as the one given above, represents the slope of the tangent line to the curve at the given point.
In this case, y = x − x^3, and dy/dx = 1 - 3x^2. Letting x = 1, we get the slope of the tangent line at the point (1,0): 1 - 3(1^2) = -2 (answer)
Answer:
for the system of linear equations, the answer would be (-8/3,2) and only have one solution
Parallel lines have no solution
Step-by-step explanation:
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Solution:
In the given right triangle,
θ = 45°
Opposite side to θ = –1
Adjacent side to θ = 1
Hypotenuse =
Using basic trigonometric ratio formulas,
Therefore,