First derivative f'(x) = 4x^3 - 12x^2. Setting f'(x) = 0 gives x = 0, 1, 3.

A × B = |i  j  k| |1  2  3| |4  5  6| = -3i + 6j - 3k.

A × B = |i  j  k| |1  2  0| |3  4  0| = (0 - 0)i - (0 - 0)j + (4 - 6)k = -2k.

E × F = |i  j  k| |1  2  0| |3  4  0| = (0 - 0)i - (0 - 0)j + (1*4 - 2*3)k = -2k.

India's current account deficit is estimated to be around 2.5% of GDP in 2023.

As of 2023, the exchange rate is approximately 78 INR for 1 USD.

As of 2023, the exchange rate of INR to USD is approximately 80.

As of 2023, the exchange rate of INR to USD is approximately 80.

The fiscal deficit percentage of India for the year 2023 is estimated to be around 5.0%.

The fiscal deficit of India is estimated to be around 5.0% of GDP in 2023.

India's foreign exchange reserves are approximately $600 billion as of 2023.

India's foreign exchange reserves are around $600 billion in 2023.

As of 2023, the inflation rate in India is reported to be around 6.5%.

The literacy rate in India is reported to be around 78% as of 2023.

The standard GST rate on most goods in India is 18% as of 2023.

As of 2023, the COVID-19 vaccination drive in India is ongoing with booster doses being administered.

The unemployment rate in India is reported to be around 5.8% as of 2023.

The decibel scale is logarithmic; a sound 10 times more intense is 10 dB.

A sound that is 10 times more intense than the reference level is 10 dB.

The threshold of hearing is defined as 0 dB.

Using the power rule, f'(x) = 12x^3 - 10x.

Using the power rule, f'(x) = 12x^3 - 15x^2 + 2.

Using the power rule, f'(x) = -4/x^2.

Using the power rule, f'(x) = 10x - 4.

The derivative f'(x) = 15x^2 - 2.

Using the power rule, f'(x) = 25x^4 - 3.

Using the power rule, f'(x) = 14x + 2.

Using the product rule, f'(x) = e^x * ln(x) + e^x * (1/x) = e^x * (ln(x) + 1/x).

Using the product rule, f'(x) = e^x * x^2 + e^x * 2x = e^x * (x^2 + 2x).

The derivative f'(x) = d/dx(ln(x)) = 1/x.