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Popular >

derivative of f(x)=7e^{-x}-4e^{-7x}

Solution

derivative of

f (x) = 7 e^{- x} - 4 e^{- 7 x}

Solution

- 7 e^{- x} + 28 e^{- 7 x}

Solution steps

\frac{d}{d x} (7 e^{- x} - 4 e^{- 7 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 e^{- x}) - \frac{d}{d x} (4 e^{- 7 x})

\frac{d}{d x} (7 e^{- x}) = - 7 e^{- x}

\frac{d}{d x} (4 e^{- 7 x}) = - 28 e^{- 7 x}

= - 7 e^{- x} - (- 28 e^{- 7 x})

Simplify

= - 7 e^{- x} + 28 e^{- 7 x}

Popular Examples

(\partial)/(\partial x)(3sec^2(3x-2y+1))

\frac{\partial}{\partial x} (3 sec^{2} (3 x - 2 y + 1))

derivative of (2x+3^5+10x(2x+3)^4)

\frac{d}{d x} ((2 x + 3)^{5} + 10 x (2 x + 3)^{4})

21 x y^{^{'}} + y = 462 x

tangent of f(x)= 1/(x+3),\at x=2 tangent of

f (x) = \frac{1}{x + 3}, at x = 2

integral of x^3(7+x^4)^5

\int x^{3} (7 + x^{4})^{5} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=7e^{-x}-4e^{-7x} ?
The derivative of f(x)=7e^{-x}-4e^{-7x} is -7e^{-x}+28e^{-7x}
What is the first derivative of f(x)=7e^{-x}-4e^{-7x} ?
The first derivative of f(x)=7e^{-x}-4e^{-7x} is -7e^{-x}+28e^{-7x}