Question

In: Math

What is the derivative of f(x)=2

Find f'(x)

Solutions

Expert Solution

The derivative of a constant is always 0. No matter the size the derivative of 1000 is the same as the derivative of 2 or 1. Since the derivative is the slope of the function at any given point, then the slope of a constant function is always 0. Hence, the derivative of a constant function is always 0.


f'(x)=0

Related Solutions

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...
Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative and linear approximation, estimate f(9.1).
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 :)
What is the Derivative of f(x)=(4x^7)^5
Find the Derivative of the f(x)
Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x +...
Suppose that f is a differentiable function with derivative f" (x) = (x − 3)(x + 1)(x + 5). Determine the intervals of x for which the function of f is increasing and decreasing Explain why a positive value for f" (x) means the graph f(x) is increasing For f(x) = 2x2- − 3x2 − 12x + 21, find where f'(x) = 0, and the intervals on which the function increases and decreases Determine the values of a, b, and...
1. Use the derivative function, f'(x)f′(x), to determine where the function f(x)=−2x^2+14x−8 is increasing. 2.Use the...
1. Use the derivative function, f'(x)f′(x), to determine where the function f(x)=−2x^2+14x−8 is increasing. 2.Use the derivative function f'(x)f′(x) to determine where the function f(x)=2x^3−27x^2+108x+13 is increasing.   3.Use the derivative function f'(x)f′(x) to determine where the function f(x)=2x^3−27x^2+108x−12 is decreasing. 4.Find each value of the function f(x)=−x^3+12x+9 where the line tangent to the graph is horizontal. x=
Given f(x,y) =(x3y- 2x2y) a) find the directional derivative of f(x,y) at (1, 2) in the...
Given f(x,y) =(x3y- 2x2y) a) find the directional derivative of f(x,y) at (1, 2) in the direction of <-3,4> b)find the maximum value of directional derivative at (2,4) and the direction in which this occurs
The derivative of a function is f'(x)=-6x^2(x-1)(x+2). How can I identify any local extrema of f,...
The derivative of a function is f'(x)=-6x^2(x-1)(x+2). How can I identify any local extrema of f, if any? How can use the First Derivative test to determine if any of the local extreme identified are a relative maximum or a relative minimum?
. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f...
. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f '(x) = 6x + 5 Then, Find the tangent line of f(x) at x = 3 Finally, Find the average rate of change between x = −1 and x = 2
f(x)=x^4-24x^2 Determine the intervals of increase and decrease for f (x) Use the First Derivative Test...
f(x)=x^4-24x^2 Determine the intervals of increase and decrease for f (x) Use the First Derivative Test to find all local maxima and minima for f (x) . Determine the intervals where f (x) is concave up and concave down Find any inflection points of f (x) . Please show the work
   Find the derivative of the function    f(t)=arccsc⁡〖(-t^2)〗    f(x)=arccot⁡√x    y=ln⁡〖t^2 〗-arctan⁡〖t/2〗    f(x)=arcsec⁡x+arccsc⁡x...
   Find the derivative of the function    f(t)=arccsc⁡〖(-t^2)〗    f(x)=arccot⁡√x    y=ln⁡〖t^2 〗-arctan⁡〖t/2〗    f(x)=arcsec⁡x+arccsc⁡x    y=arctan⁡〖x/2〗+1/(2(x^2+4))    Use implicit differentiation to find an equation of the tangent line the graph of the equation at the given point. arctan⁡(x+y)=y^2+π/4, (1,0)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT