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Popular >

derivative of f(x)=3ln(x)+4e^x-5x^2

Solution

derivative of

f (x) = 3 ln (x) + 4 e^{x} - 5 x^{2}

Solution

\frac{3}{x} + 4 e^{x} - 10 x

Solution steps

\frac{d}{d x} (3 ln (x) + 4 e^{x} - 5 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 ln (x)) + \frac{d}{d x} (4 e^{x}) - \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (3 ln (x)) = \frac{3}{x}

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

\frac{d}{d x} (5 x^{2}) = 10 x

= \frac{3}{x} + 4 e^{x} - 10 x

Graph

Popular Examples

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\frac{d y}{d x} = y^{2} (e^{x} cos (3 x))

integral of (17x^3)/(sqrt(3+x^2))

\int \frac{17 x ^{3}}{3 + x ^{2}} d x

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\int (x - \frac{5}{x}) d x

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=3ln(x)+4e^x-5x^2 ?
The derivative of f(x)=3ln(x)+4e^x-5x^2 is 3/x+4e^x-10x
What is the first derivative of f(x)=3ln(x)+4e^x-5x^2 ?
The first derivative of f(x)=3ln(x)+4e^x-5x^2 is 3/x+4e^x-10x