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Popular >

derivative of f(x)=-5e^{-5x+2}

Solution

derivative of

f (x) = - 5 e^{- 5 x + 2}

Solution

25 e^{- 5 x + 2}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 5 x + 2) = - 5

= - 5 e^{- 5 x + 2} (- 5)

Simplify

= 25 e^{- 5 x + 2}

Popular Examples

sum from n=2 to infinity of 1/(n^{1/2)}

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

(\partial)/(\partial x)(x^5y^3)

\frac{\partial}{\partial x} (x^{5} y^{3})

tangent of f(x)=3e^x+2x,(0,3)tangent of

f (x) = 3 e^{x} + 2 x, (0, 3)

y^'=((2x^4+y^4))/(xy^3)

y^{^{'}} = \frac{( 2 x ^{4} + y ^{4} )}{x y ^{3}}

integral from 1 to 2 of (5ln(x))/(x^2)

\int_{1}^{2} \frac{5 ln ( x )}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-5e^{-5x+2} ?
The derivative of f(x)=-5e^{-5x+2} is 25e^{-5x+2}
What is the first derivative of f(x)=-5e^{-5x+2} ?
The first derivative of f(x)=-5e^{-5x+2} is 25e^{-5x+2}