Question

In: Math

Find the derivative Y=ln(3-2x)

Find the derivative

Y=ln(3-2x)

Expert Solution

we have,

Hence we can write,

Hence,

according to chain rule we know that,

Hence we can say that,

--------------------------------------------1)

we have f(x) = ln(x) hence,

we have g(x) = 3 - 2x hence,

we have,

Put them in equation 1) we can write,

milcah answered 2 years ago

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

In the first 5 examples find the derivative of Y Y=epower2x Y=epower-2x +xpower2 Y=epowerxpower1/2 Y= epower-3/x...

In the first 5 examples find the derivative of Y Y=epower2x Y=epower-2x +xpower2 Y=epowerxpower1/2 Y= epower-3/x Y=epower4xdivided by xpower2 Integrate the following Int x epower5xpower2 dx Int epower-2x between 1 and 0 Int.epower x1/2 divided by xpower1/2

a- Using the definition, find the derivative of the function y = 3x2-2x+32. b- Evaluate the...

a- Using the definition, find the derivative of the function y = 3x2-2x+32. b- Evaluate the derivative at x = 1. c- Find the value of the slope of tangent at x = 2

Find the Taylor series of f(x)=ln(3+2x) about x=0.

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative and linear approximation, estimate f(9.1).

Using the definition of an anti-derivative, prove that x (ln x)3 – 3x (ln x)2 +...

Using the definition of an anti-derivative, prove that x (ln x)3 – 3x (ln x)2 + 6x (ln x) – 6x is an anti-derivative of (ln x)3 (must show all work)

Find the solution of y'' + y' = cos(2x) + 9x

2. Find the following derivative y=4x?

2. Find the following derivative y=4x? 3. Find any maximum or minimum values of the function y(x)=1+x/e4x. Use a sign chart or a second derivative test to verify the answer(s) you get is a max or min.

Let F(x, y, z)=2xy^2 +2yz^2 +2x^2z. (a) Find the directional derivative of F at the point...

Let F(x, y, z)=2xy^2 +2yz^2 +2x^2z. (a) Find the directional derivative of F at the point (−2, 1, −1) in the direction parallel to the line x = 3 + 4t, y = 2 − t, z = 3t. Answer: 58/√26 (b) Determine symmetric equations for the normal line to the level surface F(x, y, z)= −2 at the point (−1, 2, 1). Answer: x = −1 + 4t, y = 2 − 6t, z = 1 + 10t

dy/dx+(y/2x)=(x/(y^3))