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How do you find the slope of a tangent?
Take the derivative of the function.
What is the derivative of tangent?
the derivative of tangent dy/dx [ tan(u) ]= [sec^(2)u]u' this means that the derivative of tangent of u is secant squared u times the derivative of u.
Can you have a slope of 0?
Yes. Slope = rise/run (or in calculus, the derivative, often denoted dy/dx). A slope of zero indicates there is no rise, i.e., a horizontal line (or in the case of a curve, the tangent line at a given point is horizontal).
What is the slope of a curve line?
The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)
The derivative finds the of a curve?
The gradient of the tangents to the curve.
