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Popular >

derivative of y=e^{3x}+10e^{2x}

Solution

derivative of

y = e^{3 x} + 10 e^{2 x}

Solution

e^{3 x} \cdot 3 + 20 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{3 x}) + \frac{d}{d x} (10 e^{2 x})

\frac{d}{d x} (e^{3 x}) = e^{3 x} \cdot 3

\frac{d}{d x} (10 e^{2 x}) = 20 e^{2 x}

= e^{3 x} \cdot 3 + 20 e^{2 x}

Popular Examples

limit as x approaches 0 of (2e^x-2)/(3x)

x \to 0 lim (\frac{2 e ^{x} - 2}{3 x})

derivative of te^{(-t)/2}derivative of

t e^{\frac{- t}{2}}

integral of 1/(x(x^2-81)^{3/2)}

\int \frac{1}{x ( x ^{2} - 81 ) ^{\frac{3}{2}}} d x

tangent of y=((x+2))/((x+1)^2),\at x=0 tangent of

y = \frac{( x + 2 )}{( x + 1 ) ^{2}}, at x = 0

(\partial)/(\partial x)(sin(pi(5x-y)))

\frac{\partial}{\partial x} (sin (π (5 x - y)))

Frequently Asked Questions (FAQ)

What is the derivative of y=e^{3x}+10e^{2x} ?
The derivative of y=e^{3x}+10e^{2x} is e^{3x}*3+20e^{2x}
What is the first derivative of y=e^{3x}+10e^{2x} ?
The first derivative of y=e^{3x}+10e^{2x} is e^{3x}*3+20e^{2x}