Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Derivative of:
-
Derivative of sin(2*x)
-
Derivative of x^x
-
Derivative of cos8x
-
Derivative of 90
-
Identical expressions
- y=x^ five -x^ four +x^ three -x^ two +x- one
- y equally x to the power of 5 minus x to the power of 4 plus x cubed minus x squared plus x minus 1
- y equally x to the power of five minus x to the power of four plus x to the power of three minus x to the power of two plus x minus one
- y=x5-x4+x3-x2+x-1
- y=x⁵-x⁴+x³-x²+x-1
- y=x to the power of 5-x to the power of 4+x to the power of 3-x to the power of 2+x-1
-
Similar expressions
- y=x^5-x^4+x^3-x^2-x-1
- y=x^5-x^4+x^3+x^2+x-1
- y=x^5-x^4-x^3-x^2+x-1
- y=x^5+x^4+x^3-x^2+x-1
- y=x^5-x^4+x^3-x^2+x+1
Derivative of y=x^5-x^4+x^3-x^2+x-1
The solution
You have entered
[src]
5 4 3 2 x - x + x - x + x - 1
$$x^{5} - x^{4} + x^{3} - x^{2} + x - 1$$
d / 5 4 3 2 \ --\x - x + x - x + x - 1/ dx
$$\frac{d}{d x} \left(x^{5} - x^{4} + x^{3} - x^{2} + x - 1\right)$$
Detail solution
-
Differentiate term by term:
-
Apply the power rule: goes to
-
The derivative of a constant times a function is the constant times the derivative of the function.
-
Apply the power rule: goes to
So, the result is:
-
-
Apply the power rule: goes to
-
The derivative of a constant times a function is the constant times the derivative of the function.
-
Apply the power rule: goes to
So, the result is:
-
-
Apply the power rule: goes to
-
The derivative of the constant is zero.
The result is:
-
The answer is:
The first derivative
[src]
3 2 4 1 - 4*x - 2*x + 3*x + 5*x
$$5 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$$
The second derivative
[src]
/ 2 3\ 2*\-1 - 6*x + 3*x + 10*x /
$$2 \cdot \left(10 x^{3} - 6 x^{2} + 3 x - 1\right)$$
The graph