If f(2) = 3 and f '(2) = -1, find the equation of the tangent line when x =

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

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Find the equation of the tangent line to the graph of x4 y2 = 144 at the point (2, 3) and at the…

A: Equation of the tangent line to the graph of x4y2=144 at the point (2, 3) Now, differentiate the…

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: You are asked to find the equation of a horizontal tangent line to the curve y=3x3+2ex+2x. Use…

A:

Q: The slope of the tangent line to the curve y=2x^3 at the point (-4,-128) is ____. The equation of…

A:

Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

A:

Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: y у %3 4a/сosh a

A: Consider the given hyperbolic function y=4acosha The given function can be written as, y=4acosha=4a…

Q: Write the equation of the tangent line to the curve at the given point. 8xy + y2 − x2 + 38x = 217 at…

A: Equation of the tangent line to the curve   8xy+y2-x2+38x=217..............(1) at (3,4)

Q: What is the slope of the tangent line through the point (2, f (2)) if f '(x) = x3?

A:

Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

A:

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

A:

Q: 42. f(x) = In(xeV + 2)

A:

Q: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?

A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.

Q: 4. y=ysin 2xcos 5x + 3

A: Find your answer below

Q: How do you find the equation of the tangent line of xy = 36?

A: We have to discuss How do we find the equation of the tangent line of xy = 36.

Q: what is the slope of the tangent line to the curve 8x^3 - y^2 = 4 at the point (1,-2)

A: Given,

Q: The slope of the tangent line to the curve y 4 at the point (4, 1) is: - The equation of this…

A: The slope of tangent to any curve is determined by the derivative . So, slope of the tangent…

Q: f(x) = x² + 2x when x

A: The answer is given below

Q: Find the equations of the two tangent lines to the graph off that pass through the Indicated point.…

A: Given: f(x)=10x-x2

Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

A:

Q: What is the equation of the tangent line to the curve at the point on the curve where x = - 2? (The…

A:

Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)…

A:

Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives

Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

A:

Q: Please figure out the equation for the tangent line to the graph of the function at the point (9,…

A:

Q: 2 Write the equation of the tangent line to the graph of y =x at the point x = - 0.7.

A: Given equation is To find the equation of tangent line y=mx+b, we need to find out the slope m…

Q: Find the first derivative in the form of dy/dx  y=(3x-2) sq rt(3x-2) please show all your work so…

A:

Q: The equation of the tangent line to the curve: y + 5 = 2x at x = 5.

A:

Q: Vx-3 6. f(x) = X-9

A:

Q: Find the equation of the tangent line to the curve when x has the given value.  f(x)= x2 - 1; x=-2…

A: To find the equation of the tangent line to the curve when x has the given value.  f(x)= x2 - 1;…

Q: find an equation of a tangent line to the graph of the function (xy^3 +2x^3-x=16) when y=1

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

Q: Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

A:

Q: sinx f(x) = COSX

A:

Q: A point P is moving along the curve whose equation is f(x) 6le 2x+3 . By using second derivative for…

A: The equation of the curve is as follows: fx=6e2x+3 The values for x and fx with step size of h=0.05.…

Q: ity2=(2x" + 2y²-x² ) at the pointi 10,7) X+

A: Consider the equation: x2+y2=2x2+2y2−x2x2+y2=x2+2y2x2+y2−x2−2y2=0y2−2y2=0−y2=0y=0

Q: Find an equation of the tangent line to the graph of the equation x + y – ex - Y = 5 at the point…

A:

Q: f(x) =/4 –x ; (-5,3)

A:

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

A:

Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.

A: Solution :   Given that                      y=x3+x   and The slope is equal to 4 i.e m= dydx=4

Q: How do you find the equation of the tangent line of the given value of x.

A: Calculation:Compute the value of f(x) at x = 4 as follows.f(4) = 2 − √4f(4) = 0.Now differentiate…

Q: 3(-2х + 2)5 3. y= x²e5x _ + sin² ( – 3x) (x – x²)"

A: First divide it in 3 individual differentiation and then diffrenciate and finally add all to get the…

Q: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

A:

Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

A:

Q: How would you find the 54th derivative of sin(x)? What is the pattern that occurs to allow you to…

A: Consider the function

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.