The Equation of a Tangent Line: The given function exists in fraction form. We will differentiate the given function by applying the quotient rule of differentiation so as to get the slope of the curve at the given point. The quotient rule is: {eq}\displaystyle \...
Answer to: Find the equation of the tangent line at the given point for the following function. g(x) = (x^{2} - 7)^{3} at x = 2 By signing up,...
Finding the Tangent Line to a Curve at a Given Point Step 1:Find the {eq}(x,y) {/eq} coordinate for the value of {eq}x {/eq} given. If {eq}x=a{/eq}, then we have {eq}(x,y) = (a,f(a)){/eq}. Step 2:Find the derivative function {eq}f'(x){/eq} and calculate...
Find an equation of the tangent line to the curve y = sin(sin(x)) at the point (2\pi, 0). Find the equation of the tangent line to the curve 2x^{2y}-3y^2=-11 at the point __(2,-1)__. Find the equation of the tangent line to the curve x...
Tangent, in geometry, is a line that touches a curve at exactly one point, never intersecting it at that point. This concept is crucial in calculus, where the tangent line to a curve at a given point reveals the direction in which the curve is heading at that point. On the other hand...
Find ( (dy)/(dx)) and evaluate at ( x=0) and ( y=1) to find the slope of the tangentline at ( x=0) and ( y=1). ( 1/4) 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))...
解析 dyFindand evaluate at x = 4 anddxy = 4√7 tofind the slope ofthe tangentineat x =4 and y=4√7.Plug in the slope of the tangentline and the zand y values of the point into the pointslopeformula y -y1 =m(x - x1)-(√x)/x-(x-Θ)Simplify24√7ya2010201010201020 ...
两边求导 12x+3y+3xy'+4yy'+17y'=0 y'=-(12x+3y)/(3x+4y+17)则过点(-1,0)的切线斜率为 k=-[12*(-1)+3*0]/[3*(-1)+4*0+17]=12/14 =6/7 所以切线方程为y=(6/7)(x+1)即6x-7y+6=0 垂线的斜率为k'=-1/k=-7/6 方程为y=-7/6(x+1)即7x+6y+7=0 ...
Find an equation of the tangent line to the curve at the given point. {eq}y = \frac{e^x}{x}, (1, e) {/eq} Tangent Line: Recall that the derivative tells us the slope of the tangent line to a curve at a point on the curve. And so we can use the...
“The tangent to a curve at a point is a line that touches the curve at that point.” In this description, “tangent” is not like ___. A. secant B. normal C. chord D. arc 相关知识点: 试题来源: 解析 D。“tangent”是切线。“secant”是割线;“normal”是法线;“chord”是弦,都...