What is the derivative of (7x^6+4x^3^4) ?

The derivative of (7x^6+4x^3^4) is 4(7x^6+4x^3)^3(42x^5+12x^2)

What is the first derivative of (7x^6+4x^3^4) ?

The first derivative of (7x^6+4x^3^4) is 4(7x^6+4x^3)^3(42x^5+12x^2)

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\frac{d}{d x} ((7 x^{6} + 4 x^{3})^{4})

4 (7 x^{6} + 4 x^{3})^{3} (42 x^{5} + 12 x^{2})

Solution steps

\frac{d}{d x} ((7 x^{6} + 4 x^{3})^{4})

Apply the chain rule:

4 (7 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 4 x^{3})

= 4 (7 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 4 x^{3})

\frac{d}{d x} (7 x^{6} + 4 x^{3}) = 42 x^{5} + 12 x^{2}

= 4 (7 x^{6} + 4 x^{3})^{3} (42 x^{5} + 12 x^{2})

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

\int arccot (2 x) d x

t \to 0 lim (\frac{( 2 e ^{t} - 2 )}{t})

e^{x} x

x \to 0 + lim (\frac{- 2 x ^{4} - 14 x}{x})

What is the derivative of (7x^6+4x^3^4) ?
The derivative of (7x^6+4x^3^4) is 4(7x^6+4x^3)^3(42x^5+12x^2)
What is the first derivative of (7x^6+4x^3^4) ?
The first derivative of (7x^6+4x^3^4) is 4(7x^6+4x^3)^3(42x^5+12x^2)