Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² – In (;x+ 1), point (0, 4)

Q: Find an equation of the tangent line to the graph of  y = x(x + 3)5 at the point (1, 1024).

A:

Q: Find an equation of the tangent line to the graph of the function at the given point,

A: To find the slope we find y' at x=2 and y=1 so the slope is 2

Q: Find an equation of the tangent line to the graph of the function                      y = arctan…

A:

Q: find the slope and equation of the tangent line to the graph of f at point P(4, 14)f(x) =x^2 -2

A: Given a function f(x) shown below. Here we need to determine slope and the equation of tangent line…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = (e4x −…

A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

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

A: Given :                      f(x) = 2xx2 +1Differentiate using quotient rule :…

Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e*…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

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 slope of the tangent line to the graph of the function at the given point. g(x) = 11 − x2;…

A: Given:           g(x) = 11-x2

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex5 −…

A: Given equation of curve is Differentiating with respect to x, we get We know that slope of tangent…

Q: Find an equation of the tangent line to the graph of the function at the given point , y = x2ex −…

A:

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 2 if g(2) = −3 and g'(2) = 4.…

A:

Q: Find the equation of the tangent line to the graph of ​f(x)=3/x at (9,1/3). The equation of the…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point , f(x) = e3x,…

A: Equation of the tangent line: y - y1=m(x - x1) m=f'(x)

Q: the

A: The given function is f(x)=x+1x-6at the point 0,-16 To find the equation of the tangent line the…

Q: Find an equation of the tangent line to the graph of the equation at the given point. y = 9-x2; P…

A: Solve for the equation of the tangent line

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Our Aim is to find an equation of the tangent line to the graph of the function f(x)=e-x-6-(i) at…

Q: Find an equation of the tangent line to the graph of the function at the point (1, 1). y = xCosh x

A:

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

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: Find an equation of the tangent line to the graph at the given point.

A: The given function is fx=27x2+9.

Q: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = el-x,…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: We have given function  fx=e-xlnx Then, f'x=-e-xlnx+e-x1x=-e-xlnx+e-xx Therefore,…

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e=*…

A:

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we have to find the slope m and also the equation of the tangent

Q: Function Point . y = x+ – 3x? + 2 (1, 0)

A:

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 of the tangent line to the graph of the given function at the specified point. x² –…

A: We have to find the equation of the tangent line

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

A:

Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex3 −…

A: We have been given a function g(x) and we need to find the equation of tangent line to the graph of…

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

A:

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: The first derivative of the function f(x) is called as the slope by putting x coordinate of the…

Q: Find the equation of the tangent line to the graph of function at the given point. Y = 5+ 1n(1-4x) ;…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, f(x) = e−x −…

A: Equation of tangent line at point x0, y0 is y-y0=mx-x0 Where 'm' is slope and m=dydxx0,y0

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

A:

Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

A:

Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

A:

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

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

A: Given: y=fx=x2+8x-3 at 0,-24 we know that for finding equation of tangent we need to find slopem of…

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Find an equation of the tangent line to the graph of f at the given point. y = x3 - 3x + 1, (3, 19)…

A: