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Popular >

derivative of f(x)=2x^5-3e^{6x}

Solution

derivative of

f (x) = 2 x^{5} - 3 e^{6 x}

Solution

10 x^{4} - 18 e^{6 x}

Solution steps

\frac{d}{d x} (2 x^{5} - 3 e^{6 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{5}) - \frac{d}{d x} (3 e^{6 x})

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

\frac{d}{d x} (3 e^{6 x}) = 18 e^{6 x}

= 10 x^{4} - 18 e^{6 x}

Popular Examples

integral from 0 to 1 of x^2-sqrt(x)

\int_{0}^{1} x^{2} - x d x

tangent of-2x^5+4x^4 tangent of

- 2 x^{5} + 4 x^{4}

derivative of (12/x-4/(x^3)+1/(x^4))

\frac{d}{d x} (\frac{12}{x} - \frac{4}{x ^{3}} + \frac{1}{x ^{4}})

y^{''}+2y^'+y=0,y(2)=1,y^'(2)=-2

y^{^{''}} + 2 y^{^{'}} + y = 0, y (2) = 1, y^{^{'}} (2) = - 2

integral of ((x^2-x+1))/((x^2+x))

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

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2x^5-3e^{6x} ?
The derivative of f(x)=2x^5-3e^{6x} is 10x^4-18e^{6x}
What is the first derivative of f(x)=2x^5-3e^{6x} ?
The first derivative of f(x)=2x^5-3e^{6x} is 10x^4-18e^{6x}