Find an equation of the tangent line to the graph of the function f defined by the equation at the indicated point. y2 − x2 = 144;      (6, 6√5)

Q: Find f(x)=x-8/6x-1 and find the equation of the line tangent to the graph of f at x=2. and what is…

A:

Q: Find the point(s) at which the slope of the tangent line is equal to 21. And find the equation of…

A:

Q: Find f′(x) and find the equation of the line tangent to the graph of f at the indicated value of x=1…

A:

Q: Find the point P on the graph of the function y=sqrtx closest to the point (9,0) The x coordinate of…

A: We have to find the point P on the graph of the function y=x closest to the point (9,0). Also, find…

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

A:

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

A:

Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: Given the function​ f, find the slope of the line tangent to the graph of f-1 at the specified point…

A: Obtain the inverse of the given function as follows:

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

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

A: Consider the given function: fx=x2x+8 slope of the function is derivative of the function at that…

Q: (a) If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the…

A:

Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

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: Find the equation of the line tangent to the graph of the given function at the point with the…

A:

Q: Given a quadratic function f(x) = −3 x² + 11 x − 6 determine the slope of the tangent at the point P…

A:

Q: Find the point(s) at which the slope of the tangent line is equal to 21. And find the equation of…

A:

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

A:

Q: h(x) = -3x° – 5x + 20r + 60r

A:

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

A:

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

A:

Q: Consider the following function h(r) = -3r - 5x* +20z + 60r. Find the point on the graph of h(r)…

A: Inflection points are the points on the graph of a function where its curvature changes from concave…

Q: Graph the function f(x)=−4x2f(x)=-4x2 and draw the tangent lines to the graph at points whose…

A:

Q: d the slope of the secant line to the graph of f(x) = 6x - 2 from 2 to 19. If necessary, round 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: Q3: Find The Domain of the Function. Inx|- y = sin

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

Q: Next, differentiate the given function y = X 8x + 37 and write as a single fraction completely…

A: Derivative of function

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

A:

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

A:

Q: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

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

A:

Q: Suppose f(5) - 9 and f'(5) = = - 3. - An object moves along the curve y³ - 3x² f(x) = 5x = 649. For…

A:

Q: A car runs over a nail and the nail gets caught in the tire tread. The tire has a diameter of 40 cm…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Given the function f, find the slope of the line tangent to the graph of f at the specified point on…

A:

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

A:

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

A: The given function is f(x)=2x2 and the line is 6x-y+3=0. The objective is to obtain an equation of…

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

A:

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

A: Here we find equation of a line that is tangent to the graph fx=x2 and parallel to the line…

Q: Find the slope of the line that is tangent to the graph of f(x)=3x²-2 at P(-3, 25). O -3/25 O 27 O…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Find the slope of the function given at the point shown: f(x)=(1+cscx)/(1-cscx)at((\pi )/(6),-3)

A: Given, fx = 1+cscx1-cscx  We have to find the slope of the function at the point π6, -3

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= f(x) (2 + 3x)(6-5x)…

A: Given:

Q: please help

A:

Q: (a) If F(x) = x2 - 5x, find F'(5) and use it to find an equation of the tangent line to the curve y…

A: Given: Fx=x2-5x or y=x2-5x  As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

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: