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 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))....
EXAMPLE 8 Find all points on the graph of y = sin2x where the tangent line is horizontal. 相关知识点: 试题来源: 解析 SOLUTION The tangent line is horizontal when the derivative is equal to zero. To get the derivative of sin2x, we use the Product Rule. d/(dx)sin^2x=d/(dx)(sinx...
Answer to: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 \leq \theta less than 2\pi.) r= 1 +...
. Find all points on the curve y= 5/2 x2 - x3 where the tangent line is horizontal. Find the points on the curve y+x=x^2+y^2 where the tangent line is horizontal? Find the points on the curve f (x) = 2x^3...
Find the points on the curve where the tangent line is horizontal. (a) x = 5 ( cos ? ? cos 2 ? ) , y = 5 ( sin ? ? sin ? cos ? ) Find the slope of the tangent line to the given polar curve at the Find the slope of...
Set the derivative equal to ( 0) then solve the equation( 3x^2-14x=0). ( x=0,(14)/3) Solve the original function( f(x)=x^3-7x^2) at ( x=0). ( 0) Solve the original function( f(x)=x^3-7x^2) at ( x=(14)/3). ( -(1372)/(27)) The horizontaltangentl...
Find the points on the curve where the tangent line is horizontal. (a) x = 5 ( cos ? ? cos 2 ? ) , y = 5 ( sin ? ? sin ? cos ? ) Find the slope of the tangent line to the given polar curve at the Find the exact slope of the tangent line to the...
Find ( (dy)/(dx)) and evaluate at ( x=1) and ( y=0) to find the slope of the tangentline at ( x=1) and ( y=0). ( 3/2) Plug in the slope of the tangentline and the ( x) and ( y) values of the point into the point-slopeformula( y-y_1=m(x-x_1)). ( y-(...
Subtract ( xy) from both sides of the equation. ( (sin)(x+y)-xy=0) Set( (sin)(x+y)-xy) as a function of ( x). ( f(x)=0) ( f=0) is not a function of ( f=0). Therefore, it is either a horizontal or verticalfunction and has no horizontaltangentline. No horizo...