Question

Use the formal definition of the derivative to find the derivative of given function, ?(?) = 1 √1−? .

Answer #1

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

Using the derivative definition, point the derivative value for
the given function f(z)=3/z^2 Find in Z0=1+i and write x+iy
algebraically.

Find the derivative of the function using the definition of
derivative.
g(x) =
sqrt 9 −
x
g' (x) =
State the domain of the function. (using interval notation.)
State the domain of its derivative. (using interval notation.)

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

use the limit definition of the derivative to find the
derivative of 3x^2-17x+4

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

Use
the limit definition of the derivative to find the equation of the
tangent line to f at x = 3 3 f(x) = 1/(x + 1) Show all of your
work

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

Find the directional derivative of the function at the given
point in the direction of the vector v.
f(x,y,z)= x2y3+2xz+yz3
(-2,1,-1) v= <1,-2,2>
Use the chain rule to find dz/dt. z=sin(x,y) x= scos(t)
y=2t+s3

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

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