Home
Class 12
MATHS
e^(3x)cos 2x...

`e^(3x)cos 2x`

Text Solution

AI Generated Solution

To differentiate the function \( y = e^{3x} \cos(2x) \), we will use the product rule of differentiation. The product rule states that if you have two functions \( u(x) \) and \( v(x) \), then the derivative of their product is given by: \[ \frac{d}{dx}(u \cdot v) = u'v + uv' \] In our case, let: - \( u = e^{3x} \) ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10C|19 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10D|51 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10A|34 Videos

  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19B|60 Videos

  • FUNCTIONS

    RS AGGARWAL|Exercise Exercise 2D|11 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following functions with respect to e^(3x)cos2x

Differentiate e^(3x)cos2x with respect to x:

int e^(3x)(cos2x+sin2x)dx=e^(3x)*g(x)+c Then 13[g(0)+g((pi)/(4))]=

int e^(3x)(cos2x+sin2x)dx=e^(3x)*g(x)+c" Then "13[g(0)+g(pi/4)] =

int_(, then )^( If )e^(3x)cos4xdx=e^(3x)(A sin4x+B cos4x)+C

int e^(3x)cos4xdx=e^(3x)(A sin4x+B cos4x)+c

Find the second derivative of: (i)x sin x" "(ii)e^(2x)cos 3x" "(iii)x^(3)logx

If y=e^(x)cos x, prove that (dy)/(dx)=sqrt(2)e^(x)cos(x+(pi)/(4))

If y,=e^(x)cos x, prove that (dy)/(dx),=sqrt(2)e^(x)cos(x+(pi)/(4))