What is the derivative of f(x)=e^{5x^2-x} ?

The derivative of f(x)=e^{5x^2-x} is e^{5x^2-x}(10x-1)

What is the first derivative of f(x)=e^{5x^2-x} ?

The first derivative of f(x)=e^{5x^2-x} is e^{5x^2-x}(10x-1)

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derivative of

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

e^{5 x^{2} - x} (10 x - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x^{2} - x) = 10 x - 1

= e^{5 x^{2} - x} (10 x - 1)

\frac{d}{d x} (\frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}})

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

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

\frac{3}{x + 4}

ln (x - 3)

What is the derivative of f(x)=e^{5x^2-x} ?
The derivative of f(x)=e^{5x^2-x} is e^{5x^2-x}(10x-1)
What is the first derivative of f(x)=e^{5x^2-x} ?
The first derivative of f(x)=e^{5x^2-x} is e^{5x^2-x}(10x-1)