For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent? x=

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at…

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate

Q: how do you find the tangent line to the curve of f(x)= -6 square root x at x=4

A: We have given,

Q: Find the equation of the tangent line to the graph of f(x) = 3x° + 4x² – x – 4 at x = – 1. y = help…

A: We first find f'(-1) to find the slope

Q: Find the slope of the tangent line of f(x)=10x2-3 at x=-2.

A: Given f(x)=10x2-3and x=-2

Q: What is the slope of the line tangent to the graph of f (x) = 2x2e" at x = -2? Express your answer…

A:

Q: Graph f(x) = x +2x -5 and the tangent line to the graph at the point whose x-coordinate is -2.

A:

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection.…

A: Slope of the tangent is obtained by dy/dx

Q: find the slope of the tangent line f(x)=9x-2x^2 at(-3,-45)

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

Q: find the slope of the tangent line to the graph of f at the given point f(x)=x^2-8x+2 at (2,-10)

A:

Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: Find the points on the graph of f (x) = 12x − x3 where the tangent line is horizontal.

A: The slope of the tangent line to the function is given by f'(x) . According to sum rule of…

Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write

A: we have to find the slope of the line tangent to the graph of the function defined by  f(x) = x2 –…

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

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

A:

Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: The tangent lines to the graph of f(x) =x² grow steeper as x in- creases. At what rate do the slopes…

A: Given function is, f(x)=x2

Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: Find equation of the tangent line to the graph of y=sqrt(x^3-2) At the point where x=3

A:

Q: What is the slope of the tangent line to the graph of f(x) = x² - 3x +1 at the point (-1,5)?

A: Given: fx=x2-3x+1 To Find: The slope of the tangent line to the graph of the given function at the…

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: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Find an equation of a line that is tangent to the graphof f(x)= x3 -3 and Perpendicular to the line…

A: If two lines are perpendicular then product of their slope is -1. m1.m2= -1 Equation of a tangent…

Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x

A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…

Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) х— 7…

A: The objective is to determine the points where the graph of function has horizontal tangent line.

Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

A:

Q: Please find the slope of the tangent line to the graph of f(x) at x = 1

A:

Q: Find the derivative of the function. f(x) = arcsec(4x) 4 f'(x) = 4√ 16x²2 - 1 or 1 x√ 16x² - 1 X

A: As we know that the derivative os sec inverse x is: ddxsec-1x=1xx2-1

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: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

A:

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

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

A: First find slope then use equation of tangent tangent line

Q: Find the slope of the line tangent to the curve f(x)=3x-2 when x-2.

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: 1. Find the derivative of f(x). 3x3 – 2x2- x- 5 | (a) f(x) =

A:

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-3?

A:

Q: Find the function with the given derivative whose graph passes through point P. F'(x)=2x-3, P(5,5)

A:

Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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 derivative of F(x)= 2 square root 2x+3

A:

Q: f(x) =/4 –x ; (-5,3)

A:

Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: find the slope of the line tangent tothe graph of ƒ(x) = -5x + 1 at the point (1, -4).

A: We have to find slope of tangent line to the graph of fx=-5x+1 at the point 1, -4. We know that…

Q: What is the derivative for: X^3/(1-x^4)

A: What is the derivative for  x^3/(1-x^4)

Q: Find the equation of the tangent line to the graph of f(x) = 3x' + 4x – x – 4 at x = - 1. y = help…

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

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: