Calculus Derivatives & Difference Quotient Quiz

Authored by Allyssa Amaya

Mathematics

12th Grade

CCSS covered

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Calculus Derivatives & Difference Quotient

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $f\left(x\right)=x+5$ then what is $\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}$

$x+\Delta x+5$

$-x\ -\ 5$

$\frac{\Delta x-5}{\Delta x}$

If $h\left(x\right)=x^2-3$ then what is $\frac{h\left(x+\Delta x\right)-h\left(x\right)}{\Delta x}$

$x^2+2x\ \Delta x+\Delta x^2$

$x^2+2x\ \Delta x+\Delta x^2-3-x^2+3$

$\frac{2x^2+2x\Delta x+x^2-6}{\Delta x}$

$2x+\Delta x$

Find the derivative of $f\left(x\right)=-2x^2+4x+6$ .

$-4x$

$-4x+\text{4}$

$-2x+4$

$-4x+10$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Differentiate y= x³ + 2x

3x³+2x

3x²+2

3x+2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the difference quotient when f(x) = x² - x + 1

2x - 1 + h

4x - 5 - h

-2x - 1 + h

x² + 2h

Find the derivative of the given equation
f(x) = 7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the derivative of $f\left(x\right)\ =\ \frac{1}{x^5}$

$5x^4$

$-5x^6$

$-\frac{5}{x^6}$

$\frac{1}{5x^6}$

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Calculus Derivatives & Difference Quotient

If $f\left(x\right)=x+5$ then what is $\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}$

If $h\left(x\right)=x^2-3$ then what is $\frac{h\left(x+\Delta x\right)-h\left(x\right)}{\Delta x}$

Find the derivative of $f\left(x\right)=-2x^2+4x+6$ .

Differentiate y= x³ + 2x

Find the difference quotient when f(x) = x² - x + 1

Find the derivative of the given equation
f(x) = 7

Find the derivative of $f\left(x\right)\ =\ \frac{1}{x^5}$

Find the derivative of f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

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Calculus Derivatives & Difference Quotient

If f(x)=x+5f\left(x\right)=x+5f(x)=x+5 then what is f(x+Δx)−f(x)Δx\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}Δxf(x+Δx)−f(x)​

If h(x)=x2−3h\left(x\right)=x^2-3h(x)=x2−3 then what is h(x+Δx)−h(x)Δx\frac{h\left(x+\Delta x\right)-h\left(x\right)}{\Delta x}Δxh(x+Δx)−h(x)​

Find the derivative of f(x)=−2x2+4x+6f\left(x\right)=-2x^2+4x+6f(x)=−2x2+4x+6 .

Differentiate y= x3 + 2x

Find the difference quotient when f(x) = x2 - x + 1

Find the derivative of the given equationf(x) = 7

Find the derivative of f(x) = 1x5f\left(x\right)\ =\ \frac{1}{x^5}f(x) = x51​

Find the derivative of f(x) = 6x30 -2x15 + 4x3 - 2x + 1

FInd the derivative: f(x) = (-2/3)x3 - (1/2)x2 + 9x

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If $f\left(x\right)=x+5$ then what is $\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}$

If $h\left(x\right)=x^2-3$ then what is $\frac{h\left(x+\Delta x\right)-h\left(x\right)}{\Delta x}$

Find the derivative of $f\left(x\right)=-2x^2+4x+6$ .

Differentiate y= x³ + 2x

Find the difference quotient when f(x) = x² - x + 1

Find the derivative of the given equation
f(x) = 7

Find the derivative of $f\left(x\right)\ =\ \frac{1}{x^5}$

Find the derivative of f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x