CURRENT OBJECTIVEUse properties of logarithms to find the derivative of a natural logarithmic functionQuestionDetermine p'(x) if p(x) = In5 ( 52²+x+6)3x 5 tan xProvide your answer below:p'(x) =

Answered: Provide your answer below: p'(x) =

Math

Calculus

Provide your answer below: p'(x) =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.5: Graphical Differentiation

Problem 2E

See similar textbooks

Related questions

Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

A: We need to find speed and length of trajectory.

Q: Using the sum and difference of cosines formula, find the exact value of cos Enclose numerators and…

Q: Let f(x) = x³, and compute the Riemann sum of f over the interval [6, 7], choosing the…

Q: Find the following limit. lim tan(x) 3x X-

Q: The total revenue from the sale of x stereos is given by R(x)= 3,000| 1- sale of x stereos, R(x). O…

Q: A rectangle is to be inscribed in the ellipse with the following equation x² y² + 81 144 Determine…

Q: The total profit from selling x units of cookbooks is P(x) = (2x-2)(4x-9). Find the marginal average…

Q: Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

Q: Determine the average value of f(x) = sec²x over the interval 0, 0,4 2

Q: Evaluate π [15. 0 T $15 0 15. 1 - cos x 2 1 - cos x 2 dx = dx.

Q: Rewrite the integral using spherical coordinates, where solid E is between the sphere of radius 1…

A: Given integral,Solid E is between the sphere of radius 1 centered at the origin on the top and the…

Q: Question sin What is y'(x) when y(x) = (4x³ + 6x)* ^? Enter an exact answer in terms of a natural…

Q: The graph of f(x) is given below. Select each true statement about the continuity of f (x) at x = 3.…

A: The graph of is given below. To select the true statement about the continuity of at .

Q: Given f(x) = 5x + 3 and g(x) = x² - 4. Find the composition fog(x)

Q: Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by…

Q: d) F(x)= [√e² +e™² dt 2x

Q: 2. The plane z = x +4 and the cylinder x² + y² = 4 intersect in a curve C. Suppose C is oriented…

A: To solve the following problem of finding the line integral over a curve

Q: Suppose that a function f is defined by f(x) = f*" (e-t³+3t)dt. Determine the intervals on which f…

A: f(x)=∫0x(e−t3+3t)dtLeibnitz Integral Ruleddx∫g(x)h(x)f(t)dt=f(h(x))h′(x)−f(g(x))g′(x)

Q: What is r'(x) when r(x) = log₁ Provide your answer below: r'(x) = x²+3x+4 x³tan x ?

Q: 5. You are planning to make an open rectangular box from an 24-cm by 45-cm piece of cardboard by…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find all of the zeros of the function f(x) = (x²+2x − 12) (x³ +x² - 12x). If there is more than one…

Q: Find an equation for the hyperbola described below. Graph the equation by hand. Vertices at (0,-4)…

A: General equation of the hyperbola opens up and down

Q: a) dy dx dy b) = dx dy dx c) = x² + e10x = yx³ In(x) ey

Q: Use implicit differentiation to find dy/dx and then d²y/dx². Write the solutions in terms of x and y…

Q: Calculate the following integrals with the one-slice trapezoidal method. Calculate to 3 digits…

A: Let, the given integral is .The trapezoidal method formula where .

Q: Determine whether the following curve uses arc length as a parameter. If not, find a description…

Q: 1 1 Find the area of the surface generated by revolving the curve x = cos (4t), y = 2 + ¯sin (4t) on…

A: x=14cos⁡(4t),y=2+14sin⁡(4t) on 0≤t≤π4 about the x-axis. ddxsin⁡(ax)=acos⁡(ax)ddxcos⁡(ax)=−asin⁡(ax)

Q: -1⁰+ Given the graph of f (x) shown above, evaluate lim f (x). X-3 Select the correct answer below:

A: given graph of f(x) to find the limit

Q: Find two numbers whose sum is 9 and whose product is a maximum. The two numbers are (Simplify your…

A: The objective of this question is to find two numbers whose sum is 9 and whose product is a maximum.…

Q: Use the Root Test to determine whether the series converges absolutely or diverges. Ma 8 k=1 1 In…

A: The Root Testlimn→∞|an|n=ρIf ρ<1 then ∑n=1∞an is absolutely convergentIf ρ>1 or…

Q: 1 · = 1+x+x²+x³ + .…........ 1- x

A: 11−x=1+x+x2+x3+………

Q: Using n = 4 equal-width subintervals, approximate the area of the region bounded by the graph of,…

Q: 7 The rate of change of a population with emigration is given by P'(t) = 300 population in millions,…

Q: What is A’(x) for this picture?

A: We need to find A'(x).

Q: please answer c) d) and e) with steps

A: We need to find day of solstice.

Q: The function f is defined by f(x)= 2 √x x³ - for x > 0. Part A: Find f'(x). Part B: Write an…

Q: Which of the following is a solution to the differential equation xy - 2y = 2?

Q: X-4 X-4x²-16 a) lim √x-5 x-25 X-25 b) lim 13) Find the limit. Use l'Hospital's Rule where…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: T In the closed interval 0≤x≤3, if h(x) = k·cos -x, for what value of k does the region bounded by…

A: Region bounded by h(x)=k⋅cos⁡(π6x),y=0 on 0≤x≤3

Q: 76. Periodic motion An object moves along a line with a velocity in m/s πt given by v(t) = 8 cos Its…

Q: 17) Find the most general antiderivatives of the following functions: a) f'(x) = b) f'(0) = sec² (0)…

A: The given functions are,(a) .(b) (c) The aim is to find the antiderivative of the given…

Q: 7. Determine critical points for each of the following functions. b. f(x) = x(4- x)³

A: To determine the critical points of the following function.

Q: In preparation for the NEXT problem, calculate the derivative of the SINGLE VARIABLE function. f'(x)…

Q: 10. x³ .3 = 2x-y x+3y

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2. Consider the curve y = sinx - on the inteval 0 ≤ x ≤ π/2. (a) Sketch the curve and shade in the…

A: (2)The curve is given as, on

Q: Find the two values of k for which y(x) = eka is a solution of the differential equation y"-11y+30y…

A: Given Differential equation is as follows

Q: blem #3: The inverse Laplace transform f(t) = -¹ {F(s)} of the function e-25(6s - 8) F(s) = S² +49…

Q: 11. y = x² from (0, 0) to (1, 1)

Q: ㅠ 61. · S₁ f(x) f(x) dx, where f(x) = sin x + 1 if x ≤ π/2 2 cos x + 2 if x > T/2

Q: The polynomial C(t) = -0.006t4 +0.140t³ -0.53t² +1.79t measures the concentration of a dye in the…

A: C(t)=−0.006t4+0.140t3−0.53t2+1.79t

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: We will analysis the given questions

VIEW

Step 2: Detailed solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

y = (3x-2)/ (2x-1)1/2 Use the quotient rule y = [ x1/3 (x-5)1/5]/ (3x+7)9 Use logarithmic differentiation
Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)²(x4 + 4)4 y'(x) = Read It Need Help? Watch It
find derivatives use logarithmic and exponential function
We can find the derivative of p by using the chain rule, but it will be simpler to first apply the properties of logarithms to rewrite the function as the difference of two logarithms. p = ln q2 − 6 q = ln − ln(q)