If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

If f(x)=2x^2−5x+3, find f'(−4).

Use this to find the equation of the tangent line to the parabola y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line can be written in the form y=mx+b
where m is: ????

and where b is: ????

Expert Solution

milcah answered 2 years ago

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3....

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3. Find the value(s) of x where the tangent line is horizontal.

1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x=...

1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x= π/3. 2. Determine the point(s) where the tangent line to y= 2sinx-4x has a slope of-3 in the domain 0≤x≤ 2π. b) Find the equation of the tangent line.

(b) Find the equation of the tangent line to the curve 8x^2y^3-5x^2+7y^3=10(x-3y) , at...

(b) Find the equation of the tangent line to the curve 8x^2y^3-5x^2+7y^3=10(x-3y) , at the point (2,-2). (c) Given T''=6x^2y^3-cosx+5y^2-siny+10x^2-e^-3x ; determine: T'=∫(T'')∂x T'=∫(T'')∂y (d) Solve the equation cosecxcosydy-10xdx=0 , separably.

Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the...

Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the point (8,7) Part B: Find an equation of the tangent line to the graph of f(x)= −3x^2 at the point (−3,−27). Solve your equation for ?. Part C: Find an equation of the tangent line to the graph of ?(?)= 7/(x-4) at the point (5,7). Solve your equation for ?.

if f(x)=5x(x+4)^3 , find f'(x) and f"(x)

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x...

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x at the point (1, 3). 1b. Suppose the following function is defined implicitly by the equation, Find dy/dx x^2 − 3y^2 + 6e^x = 4x^2y + 5 2. Using only the definition of derivative as a limit, calculate f(x) where f(x) = 1/x − 5 3. One thousand dollars is invested at a rate of 3% a) How much money will be in the...

find the line tangent to graph of f(x) at x=0 1) f(x)=sin(x^2+x) 2)f(x)=e^2x+x+1

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...

10) Find the equation of the line tangent to 8x^2 + 18y^3 = 152 at x...

10) Find the equation of the line tangent to 8x^2 + 18y^3 = 152 at x = 1. 11) Find dy/dx where x and y are related by the equation xsin(y) − ycos(x) = 0.005.

Find the equation of the tangent line to the circle (x+2)2 +y+5)2 =4 at point (-4,-5)...

Find the equation of the tangent line to the circle (x+2)2 +y+5)2 =4 at point (-4,-5) (

Question