en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of pi/4 e^{4x+15}

Solution

derivative of

\frac{π}{4} e^{4 x + 15}

Solution

π e^{4 x + 15}

Solution steps

\frac{d}{d x} (\frac{π}{4} e^{4 x + 15})

Take the constant out:

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

= \frac{π}{4} \frac{d}{d x} (e^{4 x + 15})

Apply the chain rule:

e^{4 x + 15} \frac{d}{d x} (4 x + 15)

= e^{4 x + 15} \frac{d}{d x} (4 x + 15)

\frac{d}{d x} (4 x + 15) = 4

= \frac{π}{4} e^{4 x + 15} \cdot 4

Simplify

\frac{π}{4} e^{4 x + 15} \cdot 4 : π e^{4 x + 15}

= π e^{4 x + 15}

Popular Examples

limit as x approaches 0 of 4/((5+x)^2-2)

x \to 0 lim (\frac{4}{( 5 + x ) ^{2} - 2})

derivative of y=ln(x^{14})derivative of

y = ln (x^{14})

derivative of tan^2(x+1)

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

integral of ((8+3x-x^2))/((2x+3)(x+2)^2)

\int \frac{( 8 + 3 x - x ^{2} )}{( 2 x + 3 ) ( x + 2 ) ^{2}} d x

(\partial)/(\partial x)(3e^{xy})

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

Frequently Asked Questions (FAQ)

What is the derivative of pi/4 e^{4x+15} ?
The derivative of pi/4 e^{4x+15} is pie^{4x+15}
What is the first derivative of pi/4 e^{4x+15} ?
The first derivative of pi/4 e^{4x+15} is pie^{4x+15}