The tangent of curve y=3x^2-7x+5 at (1,1) makes an angle with the x-axis in positive direction is And is - Maths - Motion In A Straight Line

Question

The tangent of curve y=3x^2-7x+5 at (1,1) makes an angle with the
x-axis in positive direction is? And is 135 degree

Ajanta Trivedi · Accepted Answer

If the given equation of the curve is
:
 y=3x2-7x+5dydx=6x-7dydxx=1 = 6-7 = -1Slope of the tangent to the curve at 1,1 = -1Let the tangent makes the angle θ with positive direction of x-axis
Then, tan θ = slopetan θ=-1tan θ = - tan 45°tan θ = tan 180°-45°    as, tan180°-θ = - tan θtan θ = tan 135°So, θ = 135°
hope this helps you

The tangent of curve y=3x^2-7x+5 at (1,1) makes an angle with the x-axis in positive direction is? And is 135 degree.