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))....
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)(sinxsinx)=sinxcosx+sinxcosx The product of sin x and cos x is equal to zero when either sin x or cos x is equal to zero...
To find the points where the tangent is horizontal we will put the derivative as 0: {eq}y=2\sin x+\sin ^{2}x {/eq} Differentiating it using the... Learn more about this topic: Point of Tangency | Definition & Exa...
Find the points on the curve x = 3\cos \theta , y = sin (2\theta) where the tangent is horizontal or vertical. Find the point(s) on the given curve where the tangent line is horizontal or vertical. r = cos(theta). Find...
Using the formula for dy/dx solve for the points on r = 3cos(theta) where the tangent line is horizontal or vertical. For the curve with equation e^{xy} = x^2 + y^2: (a) Find dy dx at the point (0; 1). (...
Question: a) Find all the points on the graph of y = xe3(1-xº) where the tangent line is horizontal b) Write an equation for the tangent line to the graph of x + tan(xy) = 3 at the point (1,0) on its graph. Show ...
Find the slope of the tangent line to the polar curve r = 1/t at the point t = pi. 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 ta...
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 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...