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) th...
Since ( =0), the equation will always be true. Always true The horizontaltangentlines on function( f(x)=((4-x^(2/3)))^(3/2),-((4-x^(2/3)))^(3/2)) are ( y=Always(true)). ( y=Always) true反馈 收藏
Find the horizontal and vertical tangents to the graph of r=−1+sinθ;0≤θ≤2π Tangent Lines: Given a polar curve with equation r=r(θ) the slope of tangent line is the derivative of the curve y with respect to x. This last can be ...
Step 6: Find the tangent at the vertexThe tangent to the parabola at the vertex (0, 0) is a horizontal line (since the parabola opens downwards). Therefore, the equation of the tangent line at the vertex is:Tangent at the vertex=y=0(the x-axis) Step 7: Find the length of the la...
Find the value on the horizontal axis or x value of the point of the curve you want to calculate the tangent for and replace x on the derivative function by that value. To calculate the tangent of the example function at the point where x = 2, the resulting value would be f'(2) =...
( 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...
Using this information alone, you do not know whether the graph has a horizontal or vertical tangent line at the pole. From Figure, however, you can see that the graph has a cusp at the pole.结果一 题目 Find the horizontal and vertical tangent lines to the graph of $r=2(1- \cos \...
= 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 ...
Determine \frac{dy}{dx} for the polar equation r = 2 + 3 \sin \theta \\ a) find all horizontal tangent lines \\ b) find all vertical tangent lines. Consider the polar curve r = 1 - \sin \theta . a. Find polar coordinates for the points on the curve wher...
Tangent Line of a Vector Function: A vector function of the form {eq}\,\vec r\left( t \right) = \left\langle {x\left( t \right),y\left( t \right),z\left( t \right)} \right\rangle {/eq} represents a curve in space. So, to get the tangential line, it is...