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josie6471
28.02.2020 •
Mathematics
Find the slope of the line tangent to the curve y equals x squaredy=x2 at the point left parenthesis negative 0.7 comma 0.49 right parenthesis(−0.7, 0.49) and then find the corresponding equation of the tangent line.
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Ответ:
Slope: -1.4
y = -1.4x - 0.49
Step-by-step explanation:
Slope: dy/dx = 2x
x = -0.7
dy/dx = -1.4
Equation of tangent:
y = mx + c
y = -1.4x + c
When x = -0.7, y = 0.49
0.49 = (-1.4)(-0.7) + c
c = -0.49
y = -1.4x - 0.49
Ответ: