The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.
If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
Answer:
d or 4x²-12x-9
Step-by-step explanation:
factoring d you get (2x-3)²
which is a perfect square trinomial so
d or 4x²-12x-9
Answer:
60cm²
Step-by-step explanation:
Area of a rectangle = length x breath
Let,
length (L) = (a-1) cm
breadth (B) = (a+3) cm
Putting the value of a = 7;
we get,
length= 7-1 = 6 cm
breadth= 7+3 = 10 cm
Therefore, area of the rectangle = L x B
= 6 x 10
= 60 cm²
Answer:
12
Step-by-step explanation:
16 divided by 4 is 4
8 + 4 : 12
Answer:
q =90
Step-by-step explanation:
q/18=5
Multiply each side by 18
q/18 * 18=5* 18
q =90