What is the derivative of y=(4x^6+7)^5 ?

The derivative of y=(4x^6+7)^5 is 120x^5(4x^6+7)^4

What is the first derivative of y=(4x^6+7)^5 ?

The first derivative of y=(4x^6+7)^5 is 120x^5(4x^6+7)^4

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derivative of

y = (4 x^{6} + 7)^{5}

120 x^{5} (4 x^{6} + 7)^{4}

Solution steps

\frac{d}{d x} ((4 x^{6} + 7)^{5})

Apply the chain rule:

5 (4 x^{6} + 7)^{4} \frac{d}{d x} (4 x^{6} + 7)

= 5 (4 x^{6} + 7)^{4} \frac{d}{d x} (4 x^{6} + 7)

\frac{d}{d x} (4 x^{6} + 7) = 24 x^{5}

= 5 (4 x^{6} + 7)^{4} \cdot 24 x^{5}

Simplify

= 120 x^{5} (4 x^{6} + 7)^{4}

9 x - 6 x

\frac{\partial}{\partial x} (2 cos (2 x))

\int \frac{5 x + 3}{x ^{2} + 4 x + 10} d x

\frac{d}{d x} (cos^{3} (\frac{x}{3}))

y^{^{''}} - 4 y^{^{'}} + 21 y = 0

What is the derivative of y=(4x^6+7)^5 ?
The derivative of y=(4x^6+7)^5 is 120x^5(4x^6+7)^4
What is the first derivative of y=(4x^6+7)^5 ?
The first derivative of y=(4x^6+7)^5 is 120x^5(4x^6+7)^4