For the function g(x) = x^2-3 and the point P(2,1) Use either LIMIT definition of the...

For the function g(x) = x^2-3 and the point P(2,1)

Use either LIMIT definition of the derivative to find the slope of the tangent line to the graph of g at P AND determine an equation of the tangent line at P.

Expert Solution

Here we use the formula to find the equation of the tangent line to the given function at the given point and then we get the result.

milcah answered 2 years ago

Determine the limit of (x² -3) when x tends to 2 using the definition of limit...

Determine the limit of (x² -3) when x tends to 2 using the definition of limit for E= 0.0030

1. For the function f (x) = 2x² + 8 use the limit definition (four-step process)...

1. For the function f (x) = 2x² + 8 use the limit definition (four-step process) to find f′(x) . Students must show all steps (more or less four of them) to compute the derivative. Simply giving the derivative of the function will not receive much credit. 2. For the function f (x) = x² + 2x a. Find f′(x) . Students may use derivative rules to find this derivative. Show all work and clearly label the answer below. b....

Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)=...

Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)= x^3 - 9x 3) Using limits, find an equation of the line tangent to the function of g(x)= 4/x^2 at x= -2 Show All Work please! thank you :)

The directional derivative of a function F(x,y) at a point P (1,-3) in the direction of...

The directional derivative of a function F(x,y) at a point P (1,-3) in the direction of the unit vector - 3/5 i + 4/5 j is equal to - 4 while its directional derivative at P in the direction of the unit vector (1/root5) i + (2/root5) j is equal to 0. Find the directional derivative of F(x,y ) at P in the direction from P(1,-3) towards the point Q(5,0).

4. a. Suppose Z~Normal(0,1). Find P(1<Z<2). (3pts) b. Suppose X~Normal(-2,1). Find P(X>0 or X<-3). (3pts) c....

4. a. Suppose Z~Normal(0,1). Find P(1<Z<2). (3pts) b. Suppose X~Normal(-2,1). Find P(X>0 or X<-3). (3pts) c. Suppose X~Normal(2,4). The middle 88% of the X values are between what two values? (3pts)

Use MuPAD to find the point on the line y = 2 – x/3 that is closest to the point x = -3, y = 1.

At what point is the function f(x)= |3-x| not differentiable.

p(x)=x^4-2x^3+x^2+2x-2 zero: 1-i use the given zero to find all the zeros of the polynomial function

The demand function for a certain item is x=(p+2)9e−px=(p+2)9e−p Use interval notation to indicate the range...

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Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and their corresponding multiplicities. Use the...

Find the real zeros of the function f(x) = -(x+1)^3(x-2)^2 and their corresponding multiplicities. Use the information along with a sign chart (diagram) and then the end behavior to provide a rough sketch of the graph of the polynomial.

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