Find the derivative of f(x) = 6x 30 -2x 15 + 4x 3 - 2x + 1

f'(x) = 180x 29 - 30x 14 + 12x 2 - 2

f'(x) = 18x 29 + 30x 15 + 12x 3

f'(x) = 180x 29 - 30x 14 + 12x 2

f'(x) = 180x 29 - 30x 14 + 12x 2 +1

activity one derivatives

Authored by Ghassan El Kik

Mathematics

12th Grade

Used 3+ times

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13 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=x^2,\ \ \ \ \ x=4$

$16$

$1$

$-8$

$8$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=7x^2-3x,\ \ \ \ \ x=9$

$564$

$123$

$-129$

$129$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=-\frac{8}{x},\ \ \ \ \ x=-9$

$\frac{8}{9}$

$\frac{81}{8}$

$\frac{8}{81}$

$-\frac{8}{81}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=-\frac{3}{x},\ \ \ \ \ x=-2$

$\frac{3}{2}$

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{3}{4}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=10\sqrt{x},\ \ \ \ \ x=9$

$-\frac{5}{3}$

$\frac{10}{3}$

$\frac{5}{9}$

$\frac{5}{3}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which limit does not exist?

None of them

Both exist

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Differentiate 1/x²

1/2x

-2/x³

2x^-1

-2x^-1

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activity one derivatives

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=x^2,\ \ \ \ \ x=4$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=7x^2-3x,\ \ \ \ \ x=9$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=-\frac{8}{x},\ \ \ \ \ x=-9$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=-\frac{3}{x},\ \ \ \ \ x=-2$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=10\sqrt{x},\ \ \ \ \ x=9$

Which limit does not exist?

Differentiate 1/x²

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

What is the limit?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

activity one derivatives

Find the slope of the tangent line to the curve when x has the given value. f(x)=x2, x=4f\left(x\right)=x^2,\ \ \ \ \ x=4f(x)=x2, x=4

Find the slope of the tangent line to the curve when x has the given value. f(x)=7x2−3x, x=9f\left(x\right)=7x^2-3x,\ \ \ \ \ x=9f(x)=7x2−3x, x=9

Find the slope of the tangent line to the curve when x has the given value. f(x)=−8x, x=−9f\left(x\right)=-\frac{8}{x},\ \ \ \ \ x=-9f(x)=−x8​, x=−9

Find the slope of the tangent line to the curve when x has the given value. f(x)=−3x, x=−2f\left(x\right)=-\frac{3}{x},\ \ \ \ \ x=-2f(x)=−x3​, x=−2

Find the slope of the tangent line to the curve when x has the given value. f(x)=10x, x=9f\left(x\right)=10\sqrt{x},\ \ \ \ \ x=9f(x)=10x​, x=9

Which limit does not exist?

Differentiate 1/x2

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

What is the limit?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=x^2,\ \ \ \ \ x=4$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=7x^2-3x,\ \ \ \ \ x=9$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=-\frac{8}{x},\ \ \ \ \ x=-9$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=-\frac{3}{x},\ \ \ \ \ x=-2$

Find the slope of the tangent line to the curve when x has the given value.
$f\left(x\right)=10\sqrt{x},\ \ \ \ \ x=9$

Differentiate 1/x²

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