Question

g(x)= (x^2 +1)^3 (x^2+2)^6, for this question I need to find the derivative of 32x.

Answer #1

[2 marks] Find the derivative of y =
√
4 sin x + 6
at x = 0.
Consider the following statements. The limit
lim
x→0
g(4 + h) − g(4)
h
is equivalent to:
(i) The derivative of g(x) at x =
h
(ii) The derivative of g(x + 4) at x
= 0
(iii) The derivative of g(−x) at x
= −4
Determine which of the above statements are True (1) or False
(2).
If f (3) = ...

Find the derivative of the function G(x)=1/2x^4+5x^3−x^2+6.8x+
square root of 3

Given the function g(x)=4x^3−24x^2+36x, find the first
derivative, g'(x)
g′(x)= ???
Notice that g'(x)=0 when x=1, that is, g'(1)=0
Now, we want to know whether there is a local minimum or local
maximum at x=1, so we will use the second derivative test.
Find the second derivative, g''(x)
g''(x)=????
Evaluate g"(1)
g''(1)=???
Based on the sign of this number, does this mean the graph of g(x)
is concave up or concave down at x=1?
[Answer either up or down --...

1. Find the derivative of
f(x)= √4-sin(x)/3-cos(x)
2. Find the derivative of
1/(x^2-sec(8x^2-8))^2

1). Find the derivative of the function. y= 3ln(x+6)/2-6x
2). Find the derivative. y= e^x^5 ln x

g(x)=[x3(3x-1)^2(2x+1)]^1/2
find the derivative

#1: Consider the following.
g(x) = 9x2 − 8; h(x) =
1.1x
Find the derivative of f(x) = g(x) · h(x)
f '(x) =
#2: Consider the following.
g(x) = 2e6.5x; h(x) =
2(6.5x)
Find the derivative for f(x) = g(x) · h(x)
f '(x) =
#3: Consider the following.
g(x) = 8e−x + ln x; h(x) =
9x2.7
Find the derivative for f(x) = g(x) · h(x)
f '(x) =

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.

1. Find the derivative of each function. Please I just need the
first-two steps not the full answer. Thank you!
a. f(x)=6x^8 (log5(3x+1))
b.y=sin x/ 3+4sqrtx
c.y=arccos(4x)+sec(5x)
d.y=3^x/ 2+cscx
e.y=arctan (5x)-e^6x

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

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