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Popular >

derivative of f(x)=(6x^5)/5-x+3e^x

Solution

derivative of

f (x) = \frac{6 x ^{5}}{5} - x + 3 e^{x}

Solution

6 x^{4} - 1 + 3 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{6 x ^{5}}{5}) = 6 x^{4}

\frac{d x}{d x} = 1

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

= 6 x^{4} - 1 + 3 e^{x}

Popular Examples

tangent of sqrt(x),\at 36 tangent of

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derivative of arcsec(5ln(2x))derivative of

arcsec (5 ln (2 x))

implicit (dx)/(dy),y^2=x implicit derivative

\frac{d x}{d y}, y^{2} = x

integral of 1/(64+(x-1)^2)

\int \frac{1}{64 + ( x - 1 ) ^{2}} d x

(dy)/(dx)=50y-1/10 y^2

\frac{d y}{d x} = 50 y - \frac{1}{10} y^{2}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(6x^5)/5-x+3e^x ?
The derivative of f(x)=(6x^5)/5-x+3e^x is 6x^4-1+3e^x
What is the first derivative of f(x)=(6x^5)/5-x+3e^x ?
The first derivative of f(x)=(6x^5)/5-x+3e^x is 6x^4-1+3e^x