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Popular >

derivative of e^{(-5x^3-2x^2})

Solution

\frac{d}{d x} (e^{(- 5 x^{3} - 2 x^{2})})

Solution

e^{- 5 x^{3} - 2 x^{2}} (- 15 x^{2} - 4 x)

Solution steps

\frac{d}{d x} (e^{(- 5 x^{3} - 2 x^{2})})

Apply the chain rule:

e^{- 5 x^{3} - 2 x^{2}} \frac{d}{d x} (- 5 x^{3} - 2 x^{2})

= e^{- 5 x^{3} - 2 x^{2}} \frac{d}{d x} (- 5 x^{3} - 2 x^{2})

\frac{d}{d x} (- 5 x^{3} - 2 x^{2}) = - 15 x^{2} - 4 x

= e^{- 5 x^{3} - 2 x^{2}} (- 15 x^{2} - 4 x)

Popular Examples

(dy)/(dx)=3x^2(1+y^2)^{3/2}

\frac{d y}{d x} = 3 x^{2} (1 + y^{2})^{\frac{3}{2}}

derivative of f(x)=5x^2-x^{1/3}derivative of

f (x) = 5 x^{2} - x^{\frac{1}{3}}

(\partial)/(\partial x)(e^z)

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

f(x)=sqrt(x-x^2)+arcsin(sqrt(x))

f (x) = x - x^{2} + arcsin (x)

sum from n=1 to infinity of 3/(2^n+1)

n = 1 \sum \infty \frac{3}{2 ^{n} + 1}

Frequently Asked Questions (FAQ)

What is the derivative of e^{(-5x^3-2x^2}) ?
The derivative of e^{(-5x^3-2x^2}) is e^{-5x^3-2x^2}(-15x^2-4x)
What is the first derivative of e^{(-5x^3-2x^2}) ?
The first derivative of e^{(-5x^3-2x^2}) is e^{-5x^3-2x^2}(-15x^2-4x)