Question

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

2). Find the derivative. y= e^x^5 ln x

Answer #1

1. Find the derivative of the function.
y = e−8/x
2. Find the derivative of the function.
s = t8et
3. Find the derivative
of the function.
y = ex5 − (ex)5
4. Find the derivative of the function.
y = e−5x ln(6x)

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. The derivative of y=e−6x+sin3xy=e−6x+sin3x is
________
2. The derivative of y=e512x+sec18xy=e512x+sec18x is
________
3. The derivative of y=x4sin8x+8xcos20xy=x4sin8x+8xcos20x is
_____
4. Find the average rate of change of the function
f(x)=x2−2f(x)=x2−2 over the interval [−2,3]
5. Find the derivative of the function y=37x3−23xy=37x3−23x when
x=8x=8.
6. Find the derivative of the function y=6x+78x+2y=6x+78x+2 at the
point (2,3)(2,3).
7. Find the derivative of the function y=4x+59x+

Problem 1.
(1 point)
Find the critical point of the function
f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)).
c=?
Use the Second Derivative Test to determine whether it is
A. a local minimum
B. a local maximum
C. test fails
D. a saddle point

Differentiate the function
y=ln(e-x +xe-x)
Find y and y"
y=ln(sec(3x)+tan(3x))
Use logarithmic differentiation to find the derivative
of the function.
y=(cos(9x))x
Use logarithmic differentiation to find the derivative
of the function.
y=(sin(9x))(lnx)

1) Differentiate the function
y= 1/ (9x-8)6
2) Find the derivative of dy/dx of the given function
y= x3(2x-9)7
3) Differentiate the function
y=(4x-4)2(2-x5)2
4) Differentiate the given function
y=(x+4/x-9)8
5) Find the indicated derivative
d/dt ((4t-8)5/t+6)

Question 1 all parts
a)Compute the derivative dy/dx for y = 5 sqrt (8pi)+ x^6/2 +
26e^x.
b)Compute p(y)' of the function p(y)=4y-5/6y+4
c)write the equation of the tangent line to the graph y=1+9 ln x
at the point that x=1
d)determine the slope of the tangent line to the curve
2x^3+y^3+2xy=13 at the point (1,2)
e)Compute the derivative dw/dz of the function w = (37 + z sin
z)^2

Part 1) Find the derivative of the function
f(x)=e^((x^2)/(x^2+4))
Part 2) Find the derivative of the function
f(t)=(e(^t^2)+4t)^4
Part 3) Find the derivative of the function y=log6sqrt(8x+3)
Part 4)
The number x of stereo speakers a retail chain is willing to
sell per week at a price of pp dollars is given by
x=78sqrt(p+24) -390
Find the supply and instantaneous rate of change of supply when
the price is 75 dollars.
Supply = 386
Instantaneous rate of change of supply...

6. Consider the function f defined by f (x, y) = ln(x
− y). (a) Determine the natural domain of f. (b) Sketch the level
curves of f for the values k = −2, 0, 2. (c) Find the gradient of f
at the point (2,1), that is ∇f(2,1). (d) In which unit vector
direction, at the point (2,1), is the directional derivative of f
the smallest and what is the directional derivative in that
direction?

1. Calculate the total diﬀerential for the given function.
G(x,y) = e^5x ·ln(xy + 1)
2. Apply the Second Derivative Test to the given function and
determine as many local maximum, local minimum, and saddle points
as the test will allow.
F(x,y) = y^4 −7y^2 + 16 + x^2 + 2xy

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 8 minutes ago

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago