Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2). This exercise differs from the previous one in that I not only have  +. − = −. +. E. = 2 f(x h) 3(x h). 4(x h) 5. +. = +. −. + −. 2. 2. 3(x. 2xh h ) 4x 4h 5. +. + Common forms of the difference quotient are: A. f(x h) f(x) h. + −. B. f(a h) f(a) h. +. − The purpose for simplifying the difference quotient is to get the “h” or the.

The three critical points are. (0,0), (2,−2), (−4,−8). To find the nature of the critical points, we apply the second derivative test. We have. A = fxx = 12x − 6y −  I start with the given function f ( x ) = 2 x 2 − 3 f\left( x \right) = 2{x^2} - 3 f(x)=2x2−3 , plug in the value − x \color{red}-x −x and then simplify. What do I get? Let us  Get an answer for 'Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x g( x) = x+3 ' and find homework help for other Math questions at eNotes. The two points are (x, f(x)) and (x+h, f(x+h)). To find the slope, the definition is the change in y over the change of x. Does this sound familiar!! Applying this 

The two points are (x, f(x)) and (x+h, f(x+h)). To find the slope, the definition is the change in y over the change of x. Does this sound familiar!! Applying this 

20 May 2015 Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Compute the Difference Quotient (f(x + h) - f(x))/h. 8 Feb 2011 Help your child succeed in math at https://www.patreon.com/tucsonmathdoc f(x+h )-f(x)/h for f(x)=2x^2+3. 23 Oct 2016 Please see the explanation for the process. Explanation: Given: f(x)=7x2−1. f(x+h )=7(x+h)2−1. f(x+h)=7(x2+2xh+h2)−1. 19 Sep 2014 Let us find f'(x) by using the limit definition. Start with f(x) . f(x)=5x−9x2. Let us find f(x+h) . f(x+h)=5(x+h)−9(x+h)2 =5x+5h−9(x2+2xh+h2)

Note f(x)=(x−3)2−7h(x)=(3x−4)2−7. It follows that f(3x−1)=h(x). Hope this helps.

+. − = −. +. E. = 2 f(x h) 3(x h). 4(x h) 5. +. = +. −. + −. 2. 2. 3(x. 2xh h ) 4x 4h 5. +. + Common forms of the difference quotient are: A. f(x h) f(x) h. + −. B. f(a h) f(a) h. +. − The purpose for simplifying the difference quotient is to get the “h” or the. Example. f : R ! R where f(x) = x2 is not one-to-one because 3 6= 3 and yet techniques learned in the chapter “Intro to Graphs”, we can see that the 16.) f(x) = x x-1. 17.) g(x) = 2x+3 x. 18.) h(x) = x. 4-x. 19.) Below is the graph of f : R → (0,с) . We start with the derivative of a power function, f(x) = xn. Here n is a EXAMPLE 3.1.1 Find the derivative of f(x) = x. 3. d dx 8. Find an equation for the tangent line to f(x)=3x2. − π. 3 at x = 4. ⇒. 9. Suppose the Suppose that f, g, and h are differentiable functions. Find an equation for the tangent line to y = 9x. −2 at (3, 1)  Note f(x)=(x−3)2−7h(x)=(3x−4)2−7. It follows that f(3x−1)=h(x). Hope this helps. Lesson 3 Intersection points of graphs. How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect? We already know how to find  The three critical points are. (0,0), (2,−2), (−4,−8). To find the nature of the critical points, we apply the second derivative test. We have. A = fxx = 12x − 6y − 

We start with the derivative of a power function, f(x) = xn. Here n is a EXAMPLE 3.1.1 Find the derivative of f(x) = x. 3. d dx 8. Find an equation for the tangent line to f(x)=3x2. − π. 3 at x = 4. ⇒. 9. Suppose the Suppose that f, g, and h are differentiable functions. Find an equation for the tangent line to y = 9x. −2 at (3, 1) 

this h will reduce out at the end! YOUR TURN: Given, f( x ) = 5 - 3x. find the difference quotient  Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2). This exercise differs from the previous one in that I not only have  +. − = −. +. E. = 2 f(x h) 3(x h). 4(x h) 5. +. = +. −. + −. 2. 2. 3(x. 2xh h ) 4x 4h 5. +. + Common forms of the difference quotient are: A. f(x h) f(x) h. + −. B. f(a h) f(a) h. +. − The purpose for simplifying the difference quotient is to get the “h” or the. Example. f : R ! R where f(x) = x2 is not one-to-one because 3 6= 3 and yet techniques learned in the chapter “Intro to Graphs”, we can see that the 16.) f(x) = x x-1. 17.) g(x) = 2x+3 x. 18.) h(x) = x. 4-x. 19.) Below is the graph of f : R → (0,с) . We start with the derivative of a power function, f(x) = xn. Here n is a EXAMPLE 3.1.1 Find the derivative of f(x) = x. 3. d dx 8. Find an equation for the tangent line to f(x)=3x2. − π. 3 at x = 4. ⇒. 9. Suppose the Suppose that f, g, and h are differentiable functions. Find an equation for the tangent line to y = 9x. −2 at (3, 1)  Note f(x)=(x−3)2−7h(x)=(3x−4)2−7. It follows that f(3x−1)=h(x). Hope this helps.

+. − = −. +. E. = 2 f(x h) 3(x h). 4(x h) 5. +. = +. −. + −. 2. 2. 3(x. 2xh h ) 4x 4h 5. +. + Common forms of the difference quotient are: A. f(x h) f(x) h. + −. B. f(a h) f(a) h. +. − The purpose for simplifying the difference quotient is to get the “h” or the.

this h will reduce out at the end! YOUR TURN: Given, f( x ) = 5 - 3x. find the difference quotient  Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2). This exercise differs from the previous one in that I not only have  +. − = −. +. E. = 2 f(x h) 3(x h). 4(x h) 5. +. = +. −. + −. 2. 2. 3(x. 2xh h ) 4x 4h 5. +. + Common forms of the difference quotient are: A. f(x h) f(x) h. + −. B. f(a h) f(a) h. +. − The purpose for simplifying the difference quotient is to get the “h” or the.

The two points are (x, f(x)) and (x+h, f(x+h)). To find the slope, the definition is the change in y over the change of x. Does this sound familiar!! Applying this  3. -2. G. 2x² - 7x + 2; solve when x = -3. Substitute x with -3 and solve. (6) 12. (-4). (2) 3. 62' Find a H. (5). See previous problem for instruction. (5). = (5) ? = 518-3 . =5? 12xy-2. 8x-3y3 3x' – 9x, px+3y. =3x(x – 3) F. x+0.4x = 72.80 x+0.4x =  Difference Quotient Calculator | f(x+h) - f(x) / h Calculator Difference quotient is used to find the slope for a curved line provided between the two points in a graph of a function 'f'. Use this online difference quotient calculator to find f(x+h) - f(x) / h …