What is the derivative of (4x^3+5x^2)^5 ?

The derivative of (4x^3+5x^2)^5 is 5(4x^3+5x^2)^4(12x^2+10x)

What is the first derivative of (4x^3+5x^2)^5 ?

The first derivative of (4x^3+5x^2)^5 is 5(4x^3+5x^2)^4(12x^2+10x)

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derivative of

(4 x^{3} + 5 x^{2})^{5}

5 (4 x^{3} + 5 x^{2})^{4} (12 x^{2} + 10 x)

Solution steps

\frac{d}{d x} ((4 x^{3} + 5 x^{2})^{5})

Apply the chain rule:

5 (4 x^{3} + 5 x^{2})^{4} \frac{d}{d x} (4 x^{3} + 5 x^{2})

= 5 (4 x^{3} + 5 x^{2})^{4} \frac{d}{d x} (4 x^{3} + 5 x^{2})

\frac{d}{d x} (4 x^{3} + 5 x^{2}) = 12 x^{2} + 10 x

= 5 (4 x^{3} + 5 x^{2})^{4} (12 x^{2} + 10 x)

f^{^{''}} (x) = x^{2}

f (x) = \frac{7}{x ^{9}}

\int_{2}^{3} \frac{23}{3 - x} d x

f (x) = ln (5 x)

x \to \infty lim (x \cdot 5)

What is the derivative of (4x^3+5x^2)^5 ?
The derivative of (4x^3+5x^2)^5 is 5(4x^3+5x^2)^4(12x^2+10x)
What is the first derivative of (4x^3+5x^2)^5 ?
The first derivative of (4x^3+5x^2)^5 is 5(4x^3+5x^2)^4(12x^2+10x)