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Popular >

derivative of y=4xln(x)+(3^x)-(x^3)

Solution

derivative of

y = 4 x ln (x) + (3^{x}) - (x^{3})

Solution

4 (ln (x) + 1) + 3^{x} ln (3) - 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 x ln (x)) = 4 (ln (x) + 1)

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

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

= 4 (ln (x) + 1) + 3^{x} ln (3) - 3 x^{2}

Popular Examples

integral of 1/((256+x^2)^{3/2)}

\int \frac{1}{( 256 + x ^{2} ) ^{\frac{3}{2}}} d x

limit as x approaches 0 of (3x^2-2)^5

x \to 0 lim ((3 x^{2} - 2)^{5})

integral of e^xln(x)

\int e^{x} ln (x) d x

tangent of 4x^3+8x^2+3x+2 tangent of

4 x^{3} + 8 x^{2} + 3 x + 2

maclaurin e^{x^3}maclaurin

e^{x^{3}}

Frequently Asked Questions (FAQ)

What is the derivative of y=4xln(x)+(3^x)-(x^3) ?
The derivative of y=4xln(x)+(3^x)-(x^3) is 4(ln(x)+1)+3^xln(3)-3x^2
What is the first derivative of y=4xln(x)+(3^x)-(x^3) ?
The first derivative of y=4xln(x)+(3^x)-(x^3) is 4(ln(x)+1)+3^xln(3)-3x^2