How to find the derivative of exponential and chain rule base 3

The video tutorial explains the process of working with exponential functions. It begins by introducing the concept and then guides the viewer through rewriting the original power. The tutorial continues by explaining how to multiply the rewritten power by the base length and then by the derivative of the power, provided the function is differentiable. The final expression is presented as 4X cubed minus 6X squared plus 1.

What is the base referred to in the context of exponential functions?

• The original power

• The exponent itself

• The drive

• The derivative

What is the next step after rewriting the original power in the process described?

• Divide by the base

• Multiply by the length of the base

• Subtract the base

• Add the derivative

What must be true about the function for the derivative to be used in the process?

• It must be a linear function

• It must be a quadratic function

• It must be a constant function

• It must be a differentiable function

Which of the following is an example of a differentiable function given in the video?

• 2X squared minus 3X plus 5

• 4X cubed minus 6X squared plus 1

• X to the power of 4 minus 2X

• 3X plus 7

What is the final step in the process described in the video?

• Multiplying by the derivative of the power

• Adding the original power

• Subtracting the base

• Dividing by the length of the base