What is (\partial)/(\partial x)(3t^2e^{4x}) ?

The answer to (\partial)/(\partial x)(3t^2e^{4x}) is 12e^{4x}t^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(3t^2e^{4x})

\frac{\partial}{\partial x} (3 t^{2} e^{4 x})

12 e^{4 x} t^{2}

Solution steps

\frac{\partial}{\partial x} (3 t^{2} e^{4 x})

Treat

t

as a constant

Take the constant out:

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

= 3 t^{2} \frac{\partial}{\partial x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{\partial}{\partial x} (4 x)

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

\frac{\partial}{\partial x} (4 x) = 4

= 3 t^{2} e^{4 x} \cdot 4

Simplify

= 12 e^{4 x} t^{2}

x \to 1 lim ((3 x - 1)^{2})

x^{2} y^{^{''}} + 3 x y^{^{'}} + y = 0

s^{s}

\frac{d}{d x} (2 ln (x^{3}))

What is (\partial)/(\partial x)(3t^2e^{4x}) ?
The answer to (\partial)/(\partial x)(3t^2e^{4x}) is 12e^{4x}t^2