Find an equation of the tangent line of f at the given point, f(x) = (x+2)(x² +5), (–1,6)

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y…

A:

Q: find the equation of the tangent line to the curve f(x) = 2x°+3x² - 5x+3 at the point x = -1

A: Explanation of the solution is given below...

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: Find the tangent line to the function f (x) = x² – 4x + 5 at the point (3,2).

A: To find: The tangent line to function fx=x2-4x+5 at the point 3,2. Formula used: The slope of…

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 5x + 1), (5, 0) y…

A: Given y=lnx2-5x+1 We have to find tangent line at (5,0)

Q: Find an equation of the tangent line to the given curve at the specified point. 4x у 3 (3, 1) X9

A: Obtain the derivative of y as follows.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

A:

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 3x² – x³, (1, 2) -…

A:

Q: Find the equation of the tangent line to the function f(x)=x3−2x2−3x at the point (1,−4)

A:

Q: Find the equation of the tangent line to the graph of the function f (x) = (x² + 8) (x – 3) at the…

A: The gradient of the tangent at any particular point is given by :     f(x) = (x2 + 8) (x - 3)…

Q: Find an equation of the tangent line to the graph of f at the given point.         f(x) = (x − 4)(x2…

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: Find an equation of the tangent line to f (x) = x² Vx4 – 12 at x = 2. - %3D

A: Explained below

Q: Find an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: Find the equation of the tangent line to the graph of the function f (x) = /4x³ + 5 at the point…

A:

Q: Find an equation of the tangent line to f(x)=2x^3-4x+6 at x=-1

A:

Q: Find an equation of the tangent line to the graph of f(x) = 4 - x2 at the point (-1,3).

A: Solve for the equation

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A: We know that the equation of tangent line to the curve y=fxat a point x1,y1 and having slope m at…

Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

A:

Q: Find the equation of the tangent line at the given point on the curve 3x+3y2 -9yY 10,3) 2-327x/10,…

A:

Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 7x + 1), (7,0) y =

A:

Q: Find the equation of the tangent line to the graph of f(x)= 1 at the point (2,1). %3D X-1

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 3x + 1), (3, 0)

A:

Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

A:

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

A:

Q: Find the equation of the tangent line at the given point. 1 :- x, (-1,2) Vx2 f(x) = 3

A: Here we use the equation of tangent line:

Q: Find the equation of the tangent and normal line of the function f(x)=√2x-1 at the point (5,3)

A:

Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

A:

Q: Find an equation of the tangent line to the graph of f (x) = - at the point (1,2).

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 +…

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: Find the equation of the tangent line to f(x) = x^2 −3x+5 at the point x = 3.

A: Given function , fx= x2-3x+5 at the point x=3 ,at x=3 , f3= 32-3x3+5             f3=9-9+5=5Hence ,…

Q: Find an equation of the tangent line to the given curve at the specified point. x2 (1, 0) x2 + x + 1

A:

Q: Find the Equation of the tangent line of "f" at the given point. f(x)=(x-4)(x2+6x-1),(0,4)

A:

Q: Find the equation of the tangent line to the function f(x) = 2x° + 3x2 + 4x +2 at the point where x…

A: Given : fx = 2x3 + 3x2 + 4x + 2

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

A:

Q: Find the equation of the tangent line to  f(x) = x2 − 2x + 2  at  x = 5.

A: The given equation is fx=x2-2x+2.

Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: Find an equation of the tangent line to the graph of x² +2y² = 3 at (1, -1).

A:

Q: Find an equation of the tangent line to the curve at the given point. f(x)=(1-3x)1/2, (-1,2)

A:

Q: find the equation of the tangent line to the curve f(x) = 2x³+3x² - 5x+3 at the point x= -1

A: Given, y=fx=2x3+3x2-5x+3             ...(1) Point  x=-1

Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

Q: Determine the equation of the tangent line to f(x) = x3 - x, at x = 1

A:

Q: Find the equation of the tangent line of "f" at the given point f(x)=(x-4),(x2+6x-1),(0,4)

A:

Q: Find the equation of the tangent line to the graph of x2y2+4xy = 0 at the point (-4, 1).

A: Given: x2y2+4xy=0  at point -4,1