Find the slope and an equation of the tangent line to the graph of the function f at the specified point. f(x) + 8x + 8; (-1, 2 = - slope equation y =

Q: At what points do the graphs of the functions have horizontal tangent lines? ƒ(x) = x2 + 4x - 1

A:

Q: Find the equation of the curve whose slope at any point (x, is given and which passes through the…

A:

Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

A:

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A:

Q: In the given equation find an equation of the line that is tangent to the graph of f and parallel to…

A: Given: fx=1xx+2y-6=0

Q: Find an equation of the line that is tangent to the graph of y = /1+x³ at the where r = 2. Write the…

A:

Q: Use the implicit differentiation of the equation to determine the slope of the graph at the given…

A:

Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. 8)…

A:

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A:

Q: The equation is y= (3x-5)/(2x-1). Find equation of the line tangent to the graph of function when…

A:

Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Find the slope of the tangent to the graph of the given functionf(x)=7x^3 at the point (-3,-189

A:

Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

A:

Q: - 4x and draw the tangent lines to the graph at points whose x-coordinates are Graph the function…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Find an equation for the functionf that has the given derivative and whose graph passes through the…

A:

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Given:f(x)=5x(1+x2) Formula: ddxf(x)g(x)=g (x)f'(x)-f(x)g'(x)g(x)2

Q: For each problem, find the equation of th should be in slope-intercept form. 1) y=x - 3x² +2 at (3,…

A: Equation of line passing from point (x1,y1)  in the slope-point form: where m is the slope of the…

Q: Find the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = - 4x +7,…

A: Given: f(x)= -4x+7 , x=-1 Equation of line having slope m and passing through (x1, y1) is   (x-…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: In the given equation find an equation of the line that is tangent to the graph of f and parallel to…

A: Find an equation of the line that is tangent to the graph of fx=-14x2gt and parallel to the given…

Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Form the differential equation and solve it using integration and satisfy the given point.

Q: h(x) = -3x° – 5x + 20r + 60r

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: ∫ 2x4x2-102dxTake the constant out:  ∫a·fxdx=a·∫fxdx=2·∫ x4x2-102dx=2·∫ 16x5-80x3+100xdxApply the…

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Slope will be same and there will be 2 equations.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Function f(x) = −1/4 x2                      Line       x + y = 0 Equation of the line that is…

Q: x6 +1 -at the point (-1, 1) x4 +1 Find the equation of the tangent line to the graph of

A:

Q: The equation 12x-0.5 = -3(y+6) represents the equation of the tangent line to the graph of g(x) when…

A: Given that, Equation of tangent to the graph of g(x) is, 12x - 0.5 = - 3(y + 6) we have to find the…

Q: Consider the given function and point. f(x)= -7x^4+11x^2-4, (1,0) A. Find an equation of the…

A:

Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

A:

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A:

Q: 3x4 – -7Vx5 + 4 - f (x) = x2

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: The graph of f(x)=x^3-3x^2-3x+10 has a slope of 6 at two points. Find the coordinates of the points…

A:

Q: For the function f(x) = 2x²: Find the slope of the tangent line to the curve at the point (1, 2): m…

A: The given function is fx=2x2. Obtain the derivative of fx=2x2: dydx=4x Substitute x,y=1,2  in…

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find an equation of a line that is tangent to the graph of f and parallel to Function Line f(x) = x3…

A: In this question we will use basic of calculus i.e concept of application of differentiation. We…

Q: 3x² + 2x–1 Write the equation of the tangent line to f(x)= when x = - 1. x' - 4x+1

A: To find the equation of tangent line to the given curve at a given point, Obtain the expression for…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The given function fx=x4-25x2+144; x=-1. Obtain the slope at x=-1as follows.…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given: function fx=2x2Line 4x-y+1=0

Q: Consider the function f(x) = x3 + 4, and the point (1, 5). Write the equation of the line tangent to…

A: Compute the slope as follows.