Let a and b be positive numbers. A curve whose equation is y = e -ae bx is called a Gompertz growth curve. These curves are used in biology to describe certain types of population growth. Compute the derivative of y= e -5e -0.01x

Q: Find the derivative of the function. 3x 9(x) = e+5.

A:

Q: Find the derivative of the following function. w= log 7 (6P-1) dw dp

A: value=?

Q: Find the derivative of the function. g(x) = log,(x) %D g'(x) = %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn )  /dx = nxn-1  Here i…

Q: Find the differential of the given function.

A: Given function - z = 1-2v+v4-23Differentiating on both sides with respect to v -dzdv =…

Q: Find the derivative of the following function w= log 7(4P - 1 dw dp

A: Given,

Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

A:

Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

Q: 7) Find the derivative of each function a) y=x'e

A:

Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: Find the derivative of f(x) = e*?+1

A: Given, f(x)=ex2+1

Q: 1. Find the derivative of each function. i] f(x) = e*=*

A: Here f(x)=ex2-πxddxf(x)=ddxex2-πx=ex2-πx ddxx2-πx=ex2-πx 2x-πHence, ddxex2-πx=ex2-πx 2x-π

Q: ア=e y =,

A:

Q: Find the derivative of the function. 1 + e5x e 5x 3x e

A:

Q: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

A:

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: sketch the shifted exponential curves y = 1 - ex and y = 1 - e-x

A: Given  The parent exponential function y=1-ex . To find the graph of the exponential function…

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

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

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x  through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: h(x) = e= a + 4 – x2

A:

Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: Find the derivative for each function: g(x) = In ( e^x / 1 + e^x )

A: Our Aim is to find the derivative for function given below:-g(x)=lnex1+ex -(i)

Q: (A) Find derivative of y = In V4+ a2

A: Given that a function y (x) and we find derivative of this. We know that : d(lnx)/dx = 1/x . Here i…

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: Find the derivative of y with respect to the independent variable. y = (In 20)" Select one: A. T(ln…

A:

Q: Find the derivative of the function. g(x) = 500(5 – e-0.1x)

A: Given,           g(x)=5005-e-0.1x

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) […

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: Find the derivative of the function. y = (e9u − e−9u)/(e9u − e−9u)

A:

Q: Find the derivative of h(x) = e³ + Vx + lnx. I

A:

Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

A:

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y 2 1 (0, 1) -2…

A:

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: Find the derivative of the function. h(x) = log,(x² + x) h'(x) %3D

A: Given query is to find the derivative of the expression.

Q: Find the second derivative of the function. (e) = ?e-6t

A:

Q: h(t) = (e" +2)

A: given that h(t)=(e3t+2)5  So h'(t) = d/dt (e3t+2)5  h'(t) = 5(e3t+2)4 [d/dt (e3t+2)]  h'(t)= 15e3t…

Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: Find the derivative of the function. g(t) = t2 ln(e2t + 9)

A:

Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: y = e2x+1

A:

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

A: