How do you find the y-coordinate of the contact point P of the function with the tangent?

You replace "x" with a value in the equation

What are derivatives useful for?

To calculate the gradient of a curve in different places

What happens when you have Y= f(x) + g(x)?

Both f(x) and g(x) are differentiated

What happens to a constant during differentiation?

The value of the constant will be equal to 0

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Calculus - Differentiation

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Questions 20

Answers

1
What is the way we find the derivative of functions?
Derivation
Diferencienciation
Differentiation
Calculus
2
What is the derivative for y= 6/∛x ?
f '(x)= -2(1/4√x3)
f '(x)= 2(1/4√x3)
f '(x)= -2(1/3√x4)
f (x)= -2(1/4√x3)
3
What is the answer to dy/dx= X^-4?
f '(x)= -4x5
dy/dx= -4X-5
f (x)= -4x-5
f '(x)= -5x-4
4
What is the derivative for dy/dx = 1 + 1/x ?
y = -1/x2
y '= -1/x2
y '= 1/x2
y '= x-2
5
How do you find the y-coordinate of the contact point P of the function with the tangent?
The differentiation method is used to find the X coordinate
The differentiation method only works to find the gradient
You have to equate to 0
You replace "x" with a value in the equation
6
What is the derivative for dy/dx= 5x - 8/15x^-(5/2)?
y '= 4/3x7/2 + 5
y '= 4/3x7/2 + 5x
y '= 4/3x6/2 + 5
y = 4/3x7/2 + 5
7
What is the derivative for dy/dx= x³-4x²?
f '(x)= 3x2 -16x
f '(x)= 3x2 -8x
f (x)= 3x2 -8x
f '(x)= 3x3 -8x
8
What is the derivative for y= 3/x²?
y'= -6x-3
y'= -6x3
y'= 6x-3
y= -6x-3
9
What are derivatives useful for?
To find the range of a model
To calculate the mean of a set of numbers
To calculate the gradient of a curve in different places
To Calculate the best fit line in a scatter graph
10
What happens when you have Y= f(x) + g(x)?
Only g(x) is differentiated
Neither are differentiated
Both f(x) and g(x) are differentiated
Only f(x) is differentiated
11
What rule is used for differentiation?
f'(y)= anXn-1
f(x)=anXn-1
f '(x)= anXn-1
f '(x)= anXn
12
What is the derivative for f(x)= 2x³+9
dy/dx= 6x3
dy/dx= 6x2
dy/dx= 4x2
dy/dx= 3x2
13
What is the derivative for y= 3x²+x-3 ?
f '(x)= 6x-2 + 1
f '(x)= 6x + 1
f '(x)= 6x2 + 1
f '(x)= 6x + 3
14
What happens to a constant during differentiation?
The value of the constant will be equal to 0
The value of the constant will be the same
There can not be constants in differenciation
The value of the constant will be equal to 1
15
What is the derivative for dy/dx=√x?
f (x)= 1/2x-1/2
f '(x)= -1/2x-1/2
f '(x)= 1/2x1/2
f '(x)= 1/2x-1/2
16
What is the derivative for y=2/√x + x⁴?
y '=1/√x3 + 4x4
y '=1/√x2 + 4x3
y '=1/√x3 + 4x3
y =1/√x3 + 4x3
17
What is the derivative for f(x)= x^-1?
dx/dy= -x-2
dy/dx= x-2
dy/dx= -x-2
dy/dx= -x2
18
Differentiate: f(x)= x⁷
f (x)= 6x7
f '(x)= 6x7
f '(x)= 2x6
dx/dy= 6x7
19
What is the derivative for f (x)=5x²?
y '= 10x2
f'(x)= 10x
dx/dy = 10x
y= 10x2
20
What is the derivative for f(x)= (x+3)² ?
y '= 2x -6/x2
y '= 2x -7/x
y '= 2x -7/x2
y = 2x -7/x2

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