Q: e) f(x) —D е** x2 e*Inx- 2
A: Given function to differentiate fx=ex2lnx-x22 The rules used here for differentiation are 1.Chain…
Q: Find the derivative of the following function. w= log 7 (6P-1) dw dp
A: value=?
Q: Find the second derivative of the function. 20 (2-0) 20 dr 2 O A. do 2 1 B. do? O OC. do 1 OD. do?
A: Given: A function is given by,r=1+2θ2θ2-θ To Find: The second derivative of the given function…
Q: 1. Find the function whose derivative is XV X xª – 1
A: We need to find a function whose derivative is 1xx4-1
Q: Find the derivative of each function of s = 3t
A:
Q: Find the derivative of the given function. 275 y= 22+4 e -3x %3D
A:
Q: Calculate the derivative of the following function. y=e5x(5x+6)4
A: see below the calculation
Q: Find the derivative of the function.
A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx
Q: What is the derivative of e7 ** (4 x*+11)3 y = (16 x2+8 x-5)5 vith respect to x? Hint: Take the…
A:
Q: Find the first derivative with respect to the independent variable of the following functions: 15P…
A: Since you have asked multiple questions in a single request, we would be answering only the first…
Q: Find the derivative of the function. f(x) = e* logg(]x|)
A: Using Derivative rule of product of two functions.
Q: Find the derivative of the function.
A: Differentiation of the function with respect to t helps to find the derivative. Since the given…
Q: x+D メD
A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…
Q: Find the derivative of the following function. flx) = log.8x
A:
Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2
A:
Q: Find the derivative of each function.…
A: a) Given that y=2x On differentiating y with respect to x, dydx=ddx2x=2xlog2 ddxax=axloga
Q: Find the derivative of the given exponential and logarithmic functio 11. y = e-2x²+1 12. A(x) =…
A: To find the derivative of the below functions. y=e−2x2+1 Ax=lnx2+1
Q: Find the derivative of the function y = log4 (6x + 1)
A: Given information: y=log46x+1 Log rule: logab=lnblna
Q: Solve for the derivative of the following function: v=1/t^3
A:
Q: (v) y = log10(3x² – 5)
A:
Q: h(x) = e= a + 4 – x2
A:
Q: Find the derivative of the function f(x) = log23√(2x + 1)
A: To find derivative of fx=log22x+13
Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…
A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…
Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =
A:
Q: Determine the derivative of the following functions. Show your complete solutions and simplify the…
A: We have to find derivative
Q: How to solve the derivative of this
A:
Q: y = e(-x2+3x-4 )
A: Given: y=e-x2+3x-4
Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)
A: The solution is given as follows
Q: Find the derivative of the function w=e^(−5t)^5
A: We have to find derivative of w(t) with respect to t,where w(t) is given by
Q: Calculate the derivative of the following function. y=2 log5 (x -3) 2 log5 (x-3) = (²-3) =] dx
A:
Q: Find the derivative for each function: h(x) = e ^ ( - x^2 / 2 )
A: h(x)=e-x22Differentiate both sides with respect to xh'(x)=ddxe-x22h'(x)=e-x22ddx-x22 [chain…
Q: Find the derivatives of the functions y = log2 (x2/2)
A: Given that y=log2(x22)
Q: Find the derivative of the function
A: Find the derivative of the function
Q: (т3 + 5) e2x /2x – 1
A:
Q: Find the derivative of the function y = log5 √(x2 − 1 )
A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…
Q: x-1 y = log XArctanx - Invx2 +1 = y x+1
A: We can find the second derivative as below
Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)
A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5
Q: f(x) = loga x
A: ddxlogax
Q: Find the derivative of each of the following functions. (a) f(x)= (a² – Va) - e
A: Given: fx=x2-xex
Q: y = log4 x %3D .y = In(5x2 -4x + 8) %3D
A:
Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!
A:
Q: 2. √√√x + y + xy = 21
A: We have to find out derivative
Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x…
A:
Q: y = log6(x)
A:
Q: Q3. Find the first and second derivative for the following function, giving your answer in a…
A:
Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D
A:
Q: y = log,((2x³ – x² + 7)(x² + 4)) %3D -
A: Please see the solution below
Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x
A:
Q: Find the derivative of the function. h(x) = log,(x2 + x) h'(x)
A: Differentiation
Q: y = (x² + x + 1)²
A:
Find the derivative of each function from the box. Justify your choice by showing your solution
Step by step
Solved in 3 steps
- Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3) log0.001x 4) ln e2x 5) eln (3x+2) 6) ln (1/e5x) 7) ln √exAn individual improperly disposes of 8 parakeets in a nearby woodland, where they begin to reproduce at an initial rate of 3 parakeets per month. Write a differential equation for the population P assuming logistic growth, where the woodland can support at most 500 parakeets. (Do not round any coefficients.) dP/dt =What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural logarithm.
- Suppose that a population grows according to a logistic model with carrying capacity 6500 and k = 0.0015 per year. If the initial population is 1000, write a formula for the population after t years.The total number of reported cases of an illness in a large city days after the start of an outbreak is modeled by the function y = F(t) that is a solution to the logistic differential equation dy/dt= (1/5600)y(1400-y). If there are 5 reported cases of the illness initially, what is the limiting value for the total number of reported cases of the illness as t increases?Suppose a certain population is initially absent from a certain area but begins migrating there at a rate of v individuals per day. Suppose further that this is an animal group that would normally grow at an exponential rate. Then the population after t days in the new area is given by N = V/r(ert − 1) ,where r is a constant that depends on the species and the environment. If the new location proves unfavorable, then the value of r may be negative. In such a case, we can rewrite the population function as N = V/r(at − 1) ,where a is less than 1. Under these conditions, what is the limiting value of the population? N =
- Suppose that P0 is invested in a savings account where interest is compounded continuously at 3.1% per year. A).Express P(t) in terms of Po where 0.031 is the rate. B).When will an investment of $1000 double itself ?3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = xA) Differentiate y = 4√x + 8 / x - 6 / 3√x +10 B) Find the second derivative of y = 4 √x + 8/x - 6 / 3√x +10 C) Find the derivative of y = ( 1+x2 )x D) Find the derivative of f(x) = log3 5x2 + 1
- A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF AFTER ONE HOUR IT IS OBSERVED THAT 10% OF THE MATERIAL HA DECAYED, FIND (a) AN EXPRESSION OF THE MATERIAL REMAINING AT ANY TIME (b) FIND THE HALF-LIFE MATERIAL.suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per hour. what is a function that represents the population P as a function of time t (in hours). what will the population be after 4 hours and after 8 hours.Find the anti-derivative of g'(x)= log1/2(X)