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...
( 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...
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. ...
y = (horizontal tangent line) y = (non-horizontal tangent line) Find the equation of the tangent line to the curve (an ellipse) (x^2)/25 + (y^2)/9 = 1 at the point (-3, 1/5 sqrt 144). Use implicit differentiation to find an equation of the tangent line to...
Find all points on {eq}\displaystyle x^2 - xy + y^2 = 1 {/eq}, find an expression for {eq}\dfrac {dy}{dx} {/eq} in terms of both {eq}x {/eq} and {eq}y {/eq} and find all points where the tangent li...
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))....
Find the points on the curvey=x4−6x2+4where the tangent line is horizontal. View Solution Find the equation of the tangent line to the curvey=xtan2xatx=π4. View Solution Find the equation of tangent to the curvey=x3−x, at the point at which slope of tangent is equal to zero....
Let f(x) = x^2 + 2x. (a) Find the derivative f' and f. f'(x) = (b) Find the point on the graph of f where the tangent line to the curve is horizontal. Hint: Find the value of x for which f'(x) = 0. If f (x) = 3 x^2 - x^3, find f...
Because the tangent line will be horizontal at a maximum or minimum point of a curved function, it will have a slope of zero. This fact is sometimes used to find maxima and minima of functions, because their first derivative will be zero at those points. ...