(1)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Difference rule of derivative : .

Chain rule of derivative : .

Derivative of exponential function : .

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Solution :

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(2)

Step 1:

The function is .

Rewrite the function.

Apply derivative on each side with respect to x.

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Solution :

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(3)

Step 1:

The function is .

Apply derivative on each side with respect to t.

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Solution :

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(4)

Step 1:

The function is .

Rewrite the function.

Apply derivative on each side with respect to x.

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Solution :

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(5)

Step 1:

The function is .

Apply derivative on each side with respect to x.

Quotent rule of derivative : .

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Solution :

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(6)

Step 1:

The function is .

Apply derivative on each side with respect to a.

Quotent rule of derivative : .

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Solution :

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