Find the tangent line approximation of the function at the given value {eq}x = a. {/eq} {eq}y = \tan^{-1} x; \ a = 1 {/eq} Tangent Line Approximation: At any point {eq}x=a{/eq} the tangent line of the function {eq}g\left( x \right){/eq} h...
Find the tangent line approximation of the function at the given value {eq}x = a. {/eq} {eq}f(x) = \tan x ; {/eq} at {eq}a = \dfrac{ \pi}{4} {/eq} Derivatives of Trigonometric Functions: When we differentiate a trigonometric function, its d...
Find ( (dy)/(dx)) and evaluate at ( x=1) and ( y=0) to find the slope of the tangentline at ( x=1) and ( y=0). ( 3/2) 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)). ( y-...
We will first find the slope of the tangent line by differentiation. Then we will find the y-intercept of the tangent line. The function given is a cosine function.Answer and Explanation: {eq}f(x)=\cos x\ \text{Finding the slope:}\ f'(x)=-\sin x\ f'(\frac{\pi}{4})=-...
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...
There are several ways in which you can find the slope of a tangent to a function. These include actually drawing a plot of the function and the tangent line and physically measuring the slope and also using successive approximations via secants. However, for simple algebraic functions, the qu...
Find the firstderivativeandevaluateatx=0x=0andy=8y=8to find theslopeof thetangentline. Tap for more steps... Plug theslopeandpointvalues into thepoint-slopeformulaand solve foryy. Tap for more steps... y=8x+8y=8x+8 f(x)=8excos(x),(0,8)f(x)=8excos(x),(0,8) ...
Find the equation of the tangent line at x=2 for f(x)=√((4x+1)/(5x-1))100分题, 答案 定义域为D={x|x=1/5}导数f'(x) =-9/[2*(5x-1)²*√((4x+1)/(5x-1)) ]f'(2)=-1/18f(2)=1在点(2,1),函数的切线的斜率为-1/18,切线方程为 y-1=-1/18 *(x-2)整理,...
Find f′(x), and then find the tangent line to the graph of y=f(x) at x=a. f(x)=x+1;a=8 Tangent Line of a Function: Let's say we have a function y=f(x). If the function is differentiable at x=a then a tangent line to the curve y...
解析 Since ( x=0) is a verticalline, the slope is undefined. Undefined Since the slope of the equation( x=0) is undefined, there is no tangentline for ( f(x)=x/(x^2+1)) which is parallel to ( x=0). No tangentline can be found反馈 收藏 ...