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))....
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 +...
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 all points (both coordinates) on the given curve where the tangent line is (a) horizontal and (b) vertical. x^2 - xy +y^2 = 3. By...
【题目】Find the slope of the tangent line to the curve 相关知识点: 试题来源: 解析 【解析】A(1,2),B(9,6)x_1=1 , y_1=2 , x_2=9 , y_2=6m=(y_2-y_1)/(x_2-x_1)=(6-2)/(9-1)=1/2 ∴m=1/2 反馈 收藏
Find the point where the tangent line to y=2×x4 at x=0.6 crosses the x-axis.x-intercept = 相关知识点: 试题来源: 解析 x=0.6时y=0.2592求导y'=8x3 x=0.6时y'=1.728 切线方程y-0.2592=1.728(x-0.6) y=1.728x-0.7776与x轴的截距 x=0.7776/1.728=0.45...
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 and evaluate at x=2 and y=4 dx to find the slope of the tangentline at x = 2 and y=4. 4 Plug in the slope of the tangentline and the and y values of the point into the point- slopeformula y- y1 = m(x -x1). y-(4)=4· (x -(2)) Simplify. y=4x-4 10...
Answer to: Find all points on the graph of the function f(x) = 2 sinx + sin^2x at which the tangent line is horizontal. (Use n as your arbitrary...