Find the points on the given curve where the tangent line is horizontal or vertical. r=e^(θ ) 相关知识点: 试题来源: 解析 horizontal tangents at (e^(π (n- 1/4)),π (n- 14)).vertical tangents at (e^(π (n+ 1/4)),π (n+ 14)). r=e^(θ ) ⇒ x=rcos θ=e^(θ...
Find the Horizontal Tangent Line y=cos(x) ( y=(cos)(x)) 相关知识点: 试题来源: 解析 Set( y) as a function of ( x). ( f(x)=(cos)(x)) The derivative of ( (cos)(x)) with respect to ( x) is ( -(sin)(x)). ( -(sin)(x)) Set the derivative equal to ( 0) t...
Find the points on the given curve where the tangent line is horizontal or vertical. r=e^\theta Find the points on the curve where the tangent lines are horizontal and vertical. x(t) = t^3 - 3t, y(t) = t^3 - 3t^2. Find the points on the curve x = t...
Horizontal Tangent Lines for Polar Function: Polar functions also have tangent lines, these can be horizontal, and the points on the graph where this occurs can be expressed in polar or Cartesian form. The conversion requires a specific procedure that involves the polar function. ...
A critical point of a function y = f(x) is a point at which the graph of the function is either has a vertical tangent or horizontal tangent. To find critical points we see: The points at which f'(x) = 0. The points at which f'(x) is NOT defined. ...
( f(x)=2x) Find the derivative. ( 2) Since ( 2≠ 0), there are no solutions. No solution There are no solution found by setting the derivative equal to ( 0), ( 2=0) so there are no horizontaltangentlines. No horizontaltangentlines found反馈...
Find the points on the given curve where the tangent line is horizontal or vertical. r=e^(θ ) 相关知识点: 试题来源: 解析 horizontal tangents at (e^(π (n- 1/4)),π (n- 14)). vertical tangents at (e^(π (n+ 1/4)),π (n+ 14))....
Find all points (if any) of horizontal and vertical tangency to the graph. r=8sinθ Finding the Slope of a Tangent to a Polar Curve: Suppose we are given a curve defined by the polar functionr=f(θ).Then the slope of the tangent line to the graph offat any ...
= 0 and so y = f(x) has a horizontal tangent line at ( 1 3 , f( 1 3 )); and as f(x) is (right) continuous at 0, and lim x→0 + |f (x)| = ∞, y = f(x) has a vertical tangent line at (0, 0). Example 2 Find all the points on the graph y = x √ 1 ...
Find the points at which the polar curve {eq}r= 3+6sin(\theta) {/eq} have a horizontal or a vertical tangent line. Slope of Polar Curve: The slope of a polar curve expressed by the equation {eq}r=r( \theta) {/eq} can be calculated by mea...