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Popular >

derivative of (2e^x)^2-(10e^x)

Solution

derivative of

(2 e^{x})^{2} - (10 e^{x})

Solution

8 e^{2 x} - 10 e^{x}

Solution steps

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

Simplify

(2 e^{x})^{2} - 10 e^{x} : 4 e^{2 x} - 10 e^{x}

= \frac{d}{d x} (4 e^{2 x} - 10 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 e^{2 x}) - \frac{d}{d x} (10 e^{x})

\frac{d}{d x} (4 e^{2 x}) = 8 e^{2 x}

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

= 8 e^{2 x} - 10 e^{x}

Popular Examples

integral of 1/(7x^3)

\int \frac{1}{7 x ^{3}} d x

derivative of (7x+sqrt(x^2+3)^6)

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

parity (sin^5(e^{2x}))/(cos(7^{6x))}parity

\frac{sin ^{5} ( e ^{2 x} )}{cos ( 7 ^{6 x} )}

integral of 2x-3x^2

\int 2 x - 3 x^{2} d x

d/(dt)(cos(7t))

\frac{d}{d t} (cos (7 t))

Frequently Asked Questions (FAQ)

What is the derivative of (2e^x)^2-(10e^x) ?
The derivative of (2e^x)^2-(10e^x) is 8e^{2x}-10e^x
What is the first derivative of (2e^x)^2-(10e^x) ?
The first derivative of (2e^x)^2-(10e^x) is 8e^{2x}-10e^x