Question

Use the definition of the derivative to show that f(x) = |x^2 – 9| is not differentiable at x = 3

Answer #1

:)

use
the definition of derivative to find the derivative of
f(x)= 2*sqrt(x-7)
show work please.

Use
the formal definition of derivative to prove f(x) = 10|x| is not
differentiable at a=0.

use the definition of the derivative to find
f′(3) if f(x) = x^2 - 2x

use the definition of derivative to find the derivative
of f(x) =(x-1)/(x^2 +x)

Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using
the definition of the derivative as the limit of a difference
quotient.

Let f(x, y) = x^3 − 4xy^2 , x, y ∈ R. Use the definition of
differentiability to show that f(x, y) is differentiable at (2,
1).

Use the limit definition of the derivative of function x=a,
f'(a) to find an equation of the tangent line to the curve
y-f(x)-sqrt(x+2) at x-1. That is,first you find f'(1) and then find
the equation of the tangent line.

4. Use the definition of the derivative to the find the
derivative . y= -x^2+3x Derivative: __________________

Using the definition of the derivative, find f'(x). let f(x) =
x^2/x+1

State (precisely) the limit definition for the derivative of an
arbitrary function f(x) at the point
x0. Use the limit definition
to compute the derivative of the following
function: f(x) = 1/x^2

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