To obtain the derivative of 𝑏𝑥𝑛, where b is a constant and n is a positive integer, we use the power rule for differentiation. The power rule states that the derivative of 𝑥^n is n𝑥^(n-1).

Step 1: Identify the base (x) and the exponent (n). In this case, the base is x and the exponent is n.

Step 2: Apply the power rule. The derivative of 𝑥^n is n𝑥^(n-1).

Step 3: Don't forget about the constant b. When you take the derivative, the constant stays the same.

So, the derivative of 𝑏𝑥^n is b*n𝑥^(n-1).

Question

To obtain the derivative of 𝑏𝑥𝑛, where b is a constant and n is a positive integer, we use the power rule for differentiation. The power rule states that the derivative of 𝑥^n is n𝑥^(n-1).

Step 1: Identify the base (x) and the exponent (n). In this case, the base is x and the exponent is n.

Step 2: Apply the power rule. The derivative of 𝑥^n is n𝑥^(n-1).

Step 3: Don't forget about the constant b. When you take the derivative, the constant stays the same.

So, the derivative of 𝑏𝑥^n is b*n𝑥^(n-1).

Knowee AI · Accepted Answer

To obtain the derivative of 𝑏𝑥𝑛, where b is a constant and n is a positive integer, we use the power rule for differentiation. The power rule states that the derivative of 𝑥^n is n𝑥^(n-1).

Step 1: Identify the base (x) and the exponent (n). In this case, the base is x and the exponent is n.

Step 2: Apply the power rule. The derivative of 𝑥^n is n𝑥^(n-1).

Step 3: Don't forget about the constant b. When you take the derivative, the constant stays the same.

So, the derivative of 𝑏𝑥^n is b*n𝑥^(n-1).

Obtain the derivative of 𝑏𝑥𝑛, where b is a constant and n is a positive integer

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