What is the derivative of (3x^2-5x)^{45} ?

The derivative of (3x^2-5x)^{45} is 45(3x^2-5x)^{44}(6x-5)

What is the first derivative of (3x^2-5x)^{45} ?

The first derivative of (3x^2-5x)^{45} is 45(3x^2-5x)^{44}(6x-5)

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derivative of

(3 x^{2} - 5 x)^{45}

45 (3 x^{2} - 5 x)^{44} (6 x - 5)

Solution steps

\frac{d}{d x} ((3 x^{2} - 5 x)^{45})

Apply the chain rule:

45 (3 x^{2} - 5 x)^{44} \frac{d}{d x} (3 x^{2} - 5 x)

= 45 (3 x^{2} - 5 x)^{44} \frac{d}{d x} (3 x^{2} - 5 x)

\frac{d}{d x} (3 x^{2} - 5 x) = 6 x - 5

= 45 (3 x^{2} - 5 x)^{44} (6 x - 5)

cos (2 x + 3)

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

6 cos (x) + sin^{2} (x)

\frac{d}{d a} (cos^{4} (a) - sin^{4} (a) + 1)

ln (sin^{2} (e^{x}))

What is the derivative of (3x^2-5x)^{45} ?
The derivative of (3x^2-5x)^{45} is 45(3x^2-5x)^{44}(6x-5)
What is the first derivative of (3x^2-5x)^{45} ?
The first derivative of (3x^2-5x)^{45} is 45(3x^2-5x)^{44}(6x-5)