what is the derivative of y=e^x/(3x+1)^4(x+1)^3

Expert Solution

milcah answered 1 year ago

Use logarithmic differentiation to find the derivative of the function: y= sqrt(x)e^(x^3) (x^4 +1)^9 sin x

Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y...

Solve the following DEs 1.) dy/dx + y =e^3x 2.) x^2y' +xy = 1 3,) x(dy/dx)-y = x^2 sin(x) 4.) y' - 2y = e^2x, y(0) = 2 5.) cos(x)(dy/dx) + ysin(x) = 1, y(pi/4) = 0

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln...

Solve (1+e^x)dy/dx+(e^x)y=3x^2+1 Solve (x^3+y^3)dx+3xy^2 dy = 0 Solve (y-cos y)dx + (xsiny+x)dy = 0 Solve (1+ln x +y/x)dx = (1-lnx)dy Solve (y^2+yx)dx - x^2dy =0 Solve (x^2+2y^2)dx = xydy Solve Bernoulli's Equation x dy/dx + 2y = (x^4)(e^x)(y^2) Solve Bernoulli's Equation (1+x^2) dy/dx = 2xy +(e^x)(y^2) Solve IVP (3e^(x^2))dy + (xy^2)dx=0 ; y(1) = 2 Solve IVP dy/dx -2xy = e^(x^2) ; y(0)=0 Solve IVP (x^2+y^2)dx+(2xy)dy=0; y(1)=1 6. Mixture Problem Initially 40 lb of salt is dissolved in a large...

dervive the Frobenius solution to 4(x^2)*y"(x)+(3x+1)y(x)=0

Find the derivative a)y=(1+x)(x+3)/2x-1 b)y=(1+x3)(3-4x2)+x+6

1) Let P(x) = 3x(x − 1)3 (3x + 4)2 . List the zeros of P...

1) Let P(x) = 3x(x − 1)3 (3x + 4)2 . List the zeros of P and their corresponding multiplicities. 2) Let f(x) = −18(x + 3)2 (x − 2)3 (x + 71)5 . Describe the end behavior of f by filling in the blank below. As x → −∞, f(x) → . As x → ∞, f(x) → . 3) The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 3 and roots of...

Given: E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) =...

Given: E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) = 0.2 Find a lower bound on (5 < x + y < 10). State the theorem used.

Solve a. x + y = 3, 2x – y = 1 b. 3x + 2y = 6,...

Solve a. x + y = 3, 2x – y = 1 b. 3x + 2y = 6, x = 3 c. 2x + y = 4, y = -2x + 1 d. x – 3y = 6, 2x – y =1

Calculate the all of the second order derivatives of f(x,y)=x^4 y- 〖3x〗^4 y^3+5y-10 Let be f(x,y,x)=2x^5...

Calculate the all of the second order derivatives of f(x,y)=x^4 y- 〖3x〗^4 y^3+5y-10 Let be f(x,y,x)=2x^5 yz^3-3x^(-4) y^3 calculate the f_xyz=? If f(x,y,z)〖=5e〗^(-xyz^6 ) +lnx calculate the f_yxz=? Let f(x,y)=cos(x^3 y) ise df/dx=? df/dy=? z=2x+y , x=sin(3t ) and y=cos(3t) using the chain rule calculate the dz/dt where t=π/2. Find the critical points of the f(x,y)=〖6x〗^2+12y^2+12x-24y and provide the information about the critical points obtained (if it is max, min or saddle point).

E(Y) = 4, E(X) = E(Y+2), Var(X) = 5, Var(Y) = Var(2X+2) a. What is E(2X...

E(Y) = 4, E(X) = E(Y+2), Var(X) = 5, Var(Y) = Var(2X+2) a. What is E(2X -2Y)? b. What is Var(2X-Y+2)? c. What is SD(3Y-3X)? 2) In a large community, 65% of the residents want to host an autumn community fair. The rest of the residents answer either disagree or no opinion on this proposal. A sample of 18 residents was randomly chosen and asked for their opinions. a) What is th probability that the residents answer either disagree or...

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