What is the derivative of y=(x^3+3)^4 ?

The derivative of y=(x^3+3)^4 is 12x^2(x^3+3)^3

What is the first derivative of y=(x^3+3)^4 ?

The first derivative of y=(x^3+3)^4 is 12x^2(x^3+3)^3

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derivative of

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

12 x^{2} (x^{3} + 3)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (x^{3} + 3)^{3} \cdot 3 x^{2}

Simplify

= 12 x^{2} (x^{3} + 3)^{3}

d er i v a t i v e \frac{1}{( x + 2 ) ^{2}}

\frac{d}{d x} (- (cos^{2} (x) + cos^{2} (y)) 2)

d er i v a t i v e \frac{2}{x ^{- 5}}

d er i v a t i v e e^{0.5} t

d er i v a t i v e \frac{1}{( x ^{2} + a ^{2} ) ^{n - 1}}

What is the derivative of y=(x^3+3)^4 ?
The derivative of y=(x^3+3)^4 is 12x^2(x^3+3)^3
What is the first derivative of y=(x^3+3)^4 ?
The first derivative of y=(x^3+3)^4 is 12x^2(x^3+3)^3