The derivative of x3-2x+5 is 3x2- 2. This is its slope at a point x,y.
X 2 cubed
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
When you multiply x cubed by x cubed, you add the exponents because you are multiplying like bases. x cubed times x cubed equals x to the power of 3+3, which simplifies to x to the power of 6. So, x cubed times x cubed is equal to x to the power of 6.
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
21 X squared over 5
10/x3 = 10 x-3d/dx(10x-3) = -30 x-4 = -30/x4
x4/12 since derivative of x4/12 is 4x3/12 or x3/3
9x2
X cubed - X cubed is zero.
The derivative of x3-2x+5 is 3x2- 2. This is its slope at a point x,y.
The derivative of y = 1/3 x3 - 3x2 + 8x + 1/3 is x2 - 6x + 8. You can determine this for yourself by the rules. The derivative of a constant (e.g. 1/3) is 0. The derivative of xn for positive n (actually all nonzero n) is nxn-1. And if the derivative of f(x) is f'(x), then the derivative of k f(x) is k f'(x). Put all these together and you get the above result.
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
The derivative of ln x is 1/x The derivative of 2ln x is 2(1/x) = 2/x
The derivative of cos(x) is negative sin(x). Also, the derivative of sin(x) is cos(x).
The derivative of 3cos(x) is -3sin(x). This can be found using the chain rule, which states that the derivative of a composition of functions is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. In this case, the derivative of cos(x) is -sin(x), and when multiplied by the constant 3, we get -3sin(x) as the derivative of 3cos(x).