Podcast
Questions and Answers
What is the derivative of $3x^2$ with respect to x?
What is the derivative of $3x^2$ with respect to x?
- $3x$
- $x^2$
- $2x$
- $6x$ (correct)
What is the integral of $2x$ with respect to x?
What is the integral of $2x$ with respect to x?
- $rac{x^2}{2} + C$ (correct)
- $4x + C$
- $x^2 + C$
- $2x^2 + C$
What is the slope of the line tangent to the curve $y = 4x - 3$ at the point (2, 5)?
What is the slope of the line tangent to the curve $y = 4x - 3$ at the point (2, 5)?
- 5
- 2
- 4 (correct)
- 3
What is the derivative of $5x^3$ with respect to x?
What is the derivative of $5x^3$ with respect to x?
What is the integral of $6x^2 + 3x - 2$ with respect to x?
What is the integral of $6x^2 + 3x - 2$ with respect to x?
What is the slope of the line tangent to the curve $y = 2x^2 - 4x + 1$ at the point (1, -1)?
What is the slope of the line tangent to the curve $y = 2x^2 - 4x + 1$ at the point (1, -1)?
What is the integral of $4x^3 - 2x^2 + 5x$ with respect to x?
What is the integral of $4x^3 - 2x^2 + 5x$ with respect to x?
What is the derivative of $7x^4 - 3x^2 + 2x$ with respect to x?
What is the derivative of $7x^4 - 3x^2 + 2x$ with respect to x?
What is the slope of the line tangent to the curve $y = 3x^2 + 4x - 1$ at the point (1, 6)?
What is the slope of the line tangent to the curve $y = 3x^2 + 4x - 1$ at the point (1, 6)?
Flashcards
Derivative of 3x²
Derivative of 3x²
The derivative of 3x² with respect to x is 6x.
Integral of 2x
Integral of 2x
The indefinite integral of 2x with respect to x is x² + C, where C is the constant of integration.
Slope of tangent, y = 4x - 3
Slope of tangent, y = 4x - 3
The slope of the tangent line to y = 4x - 3 is 4.
Derivative of 5x³
Derivative of 5x³
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Integral of 6x² + 3x - 2
Integral of 6x² + 3x - 2
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Slope of tangent, y = 2x² - 4x + 1 at x=1
Slope of tangent, y = 2x² - 4x + 1 at x=1
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Integral of 4x³ - 2x² + 5x
Integral of 4x³ - 2x² + 5x
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Derivative of 7x⁴ - 3x² + 2x
Derivative of 7x⁴ - 3x² + 2x
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Slope of tangent, y = 3x² + 4x - 1 at x=1
Slope of tangent, y = 3x² + 4x - 1 at x=1
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