Question

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.

Answer 1

Answer:

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