What is the derivative of y=ce^{(-x^3)/3}+1 ?

The derivative of y=ce^{(-x^3)/3}+1 is -ce^{-(x^3)/3}x^2

What is the first derivative of y=ce^{(-x^3)/3}+1 ?

The first derivative of y=ce^{(-x^3)/3}+1 is -ce^{-(x^3)/3}x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = c e^{\frac{- x ^{3}}{3}} + 1

- c e^{- \frac{x ^{3}}{3}} x^{2}

Solution steps

\frac{d}{d x} (c e^{\frac{- x ^{3}}{3}} + 1)

Simplify

c e^{\frac{- x ^{3}}{3}} + 1 : c e^{- \frac{x ^{3}}{3}} + 1

= \frac{d}{d x} (c e^{- \frac{x ^{3}}{3}} + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (c e^{- \frac{x ^{3}}{3}}) + \frac{d}{d x} (1)

\frac{d}{d x} (c e^{- \frac{x ^{3}}{3}}) = - c e^{- \frac{x ^{3}}{3}} x^{2}

\frac{d}{d x} (1) = 0

= - c e^{- \frac{x ^{3}}{3}} x^{2} + 0

Simplify

= - c e^{- \frac{x ^{3}}{3}} x^{2}

\int_{1}^{5} 6250 π x d x

f (x) = x^{3} + x

2 x, at x = 9

f (x) = \frac{8 x}{x ^{2} - 1}, at x = 3

(\frac{6 x ^{2}}{8 - x})^{3}

What is the derivative of y=ce^{(-x^3)/3}+1 ?
The derivative of y=ce^{(-x^3)/3}+1 is -ce^{-(x^3)/3}x^2
What is the first derivative of y=ce^{(-x^3)/3}+1 ?
The first derivative of y=ce^{(-x^3)/3}+1 is -ce^{-(x^3)/3}x^2