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Popular >

derivative of y=3e^{4x}+6e^{2x}

Solution

derivative of

y = 3 e^{4 x} + 6 e^{2 x}

Solution

12 e^{4 x} + 12 e^{2 x}

Solution steps

\frac{d}{d x} (3 e^{4 x} + 6 e^{2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 e^{4 x}) + \frac{d}{d x} (6 e^{2 x})

\frac{d}{d x} (3 e^{4 x}) = 12 e^{4 x}

\frac{d}{d x} (6 e^{2 x}) = 12 e^{2 x}

= 12 e^{4 x} + 12 e^{2 x}

Popular Examples

derivative of e^{7x}+e^{-7x}

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

derivative of 1+(3/2 x^{(1/2})^2)

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

tangent of f(x)=20x-16x^2,\at x=3 tangent of

f (x) = 20 x - 16 x^{2}, at x = 3

y^'+2/(t+1)y=3t

y^{^{'}} + \frac{2}{t + 1} y = 3 t

(\partial)/(\partial x)(v/(2u+v))

\frac{\partial}{\partial x} (\frac{v}{2 u + v})

Frequently Asked Questions (FAQ)

What is the derivative of y=3e^{4x}+6e^{2x} ?
The derivative of y=3e^{4x}+6e^{2x} is 12e^{4x}+12e^{2x}
What is the first derivative of y=3e^{4x}+6e^{2x} ?
The first derivative of y=3e^{4x}+6e^{2x} is 12e^{4x}+12e^{2x}