Question

Find derivatives (Please show work!)

1. *f(x)=**ln**(**5**x^**3**)*

2. *f(x)=**(ln**^3)x*

3. *f(x)=**e^**(5**x**2**+2)*

4. *f(x)=x**e^**2x*

5. *f(x)=x**ln**x*

Answer #1

Please show work
1. Find the first derivate
a). y= In(2x+5/4x-8)
b). y= xe^x+1
c). y= xln(x+1)
d). y= (x/lnx)
2. Find the critical points. Write the coordinates (x,y)
a). f(x)= 3x^2/3 - 2x
b). f(x)= 2x^3 + 3x^2 - 12x
c). f(x)= x √x+3
d). f(x)= (lnx/ x^2)

Find the derivative of the function.
(a) f(x) = ln (x) + 6x^(2) – 5
(b) f(x) = ln (x + 1)
(c) f(x) = 5 ln x
(d) f(x) = ln(x^(3) – 5x^(2) – 2x + 5)
(e) 2lnx / x
(f) x^(2) ln x

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....

Find the four second partial derivatives of f(x, y) = 2x^5y^2 +
x^2 y. please show all work

1.) Find the equation of the tangent line to the graph of the
function f(x)=5x-4/2x+2 at the point where x=2
2.) Find the derivative: r(t)=(ln(t^3+1))^2

find critical numbers of
f(x)=2x^3 + x^2 - 2x
please show all work :)

Differentiate
f(x) = (√ x +1)(x(2/5)+3x)
f(x) =(5x3+1)/(x2+2x+1)
f(x) = -5x(3x-3)4
f(x) = (2x +
(x2+x)4)(1/3)

find absolute max and min
f(x)= ln(x^3 -2x^2 +x) [1/4, 3/4]

5. Part I
If f(x) = 2x 2 - 3x + 1, find f(3) - f(2).
A. 0
B. 7
C. 17
Part II
If G( x ) = 5 x - 2, find G-1(x).
A. -5x + 2
B. (x + 2)/5
C. (x/5) + 2
Please help me solve this problem and if you can please also
show or explain how you got that answer. Thank you! :)

1. Solve the equation ln(x + 5) − ln(x − 3) = 1 for x.
2.Find all values of x for which the following function has a
tangent line of slope 0 (i.e. f 0 (x) = 0). f(x) = e^2x+1 (2x +
5)
3.Calculate limx→−5 1 − √ x + 6/x + 5

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