What is (\partial)/(\partial x)(3e^{3x+4y}cos(5z)) ?

The answer to (\partial)/(\partial x)(3e^{3x+4y}cos(5z)) is 9e^{3x+4y}cos(5z)

Popular >

(\partial)/(\partial x)(3e^{3x+4y}cos(5z))

\frac{\partial}{\partial x} (3 e^{3 x + 4 y} cos (5 z))

9 e^{3 x + 4 y} cos (5 z)

Solution steps

\frac{\partial}{\partial x} (3 e^{3 x + 4 y} cos (5 z))

Treat

y, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 cos (5 z) \frac{\partial}{\partial x} (e^{3 x + 4 y})

Apply the chain rule:

e^{3 x + 4 y} \frac{\partial}{\partial x} (3 x + 4 y)

= e^{3 x + 4 y} \frac{\partial}{\partial x} (3 x + 4 y)

\frac{\partial}{\partial x} (3 x + 4 y) = 3

= 3 cos (5 z) e^{3 x + 4 y} \cdot 3

Simplify

= 9 e^{3 x + 4 y} cos (5 z)

(6 + x) y^{^{'}} = 5 y

\int 16 x ln (3 x) d x

\int \frac{( 1 + x )}{1 + x ^{2}} d x

x = - 2, x = 1, y = 2 x^{2} + 12, y = 0

f (x) = 5 x + 11, (5, 6)

What is (\partial)/(\partial x)(3e^{3x+4y}cos(5z)) ?
The answer to (\partial)/(\partial x)(3e^{3x+4y}cos(5z)) is 9e^{3x+4y}cos(5z)