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Sarah J.

Teaching Assistant for Calculus 1, Tutor for Algebra through Calculus 2. Multiple AP subjects passed

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Writing

TutorMe

Question:

Help me find all of my grammatical mistakes.

Sarah J.

Answer:

In order to do this, I will need to see their writing, so answers will differ.

Calculus

TutorMe

Question:

How do I find the derivative of this function: 3x^3+4x^2+4

Sarah J.

Answer:

In order to find a derivative, we need the formula for it: if we have x^n, the derivative is nx^(n-1). We can keep constants in front and multiply it to the derivative afterward. So, the derivative of 3x^3 is 3*3x^2. The derivative of 4x^2 is 4*2x. The derivative of 4 is 4*0x^0, which is just zero. So, the derivative of our function is 9x^2+8x^2.

Algebra

TutorMe

Question:

What is the slope of the line using these points: (1,3) and (2,5)?

Sarah J.

Answer:

Our slope formula is (y2-y1)/(x2-x1), where (x1,y1)=(1,3) and (x2,y2)=(2,5). So, (5-3)/(2-1)=(2)/(1)=2.

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