Question

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

Answer #1

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)= 2*sqrt(x-7)
show work please.

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

Find the derivative of the function using the definition of
derivative.
f(x) =
1
5
x −
1
6
f '(x) =
B,
f(x) =
2.5x2 − x + 4.8
f '(x)
=
C,
f(x) =
3x4
f '(x)
=
D,
If
f(t) =
3
t
and
a ≠ 0
, find f '(a).
f '(a) =

find the derivative using a definition of the derivative (h) of the
following function
f(x)= x/(x-1)

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

Find the derivative using the definition:
A) f(x) = 1 if x is less than or equal to 1
and x^2 if x > 1
B) f(x)= x+2/x-3

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

Let f(x)=3x2+10x+3.
a) Find the derivative of f(x) using the definition of the
derivative.
b) Find the equation of the tangent line at point x=−1

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