derivative of sec2(x)=2tan(x)sec2(x)
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
2xsin2x+2x2sinxcosx
-(pi)*sin(pi*x)
f'(x)xy=yx(y-1) f'(x)2=2x1=2x
y=x^pid/dx=pi*(x^pi-1)This is true because of power rule.d/dx (x^a)=a(x^(a-1))
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
pi cos(pi x)
derivative of sec2(x)=2tan(x)sec2(x)
the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
The anti-derivative of any constant c, is just c*x. Thus, the antiderivative of pi is pi*x. We can verify this by taking the derivative of pi*x, which gives us pi.
The surface area of a (closed) cylinder equals the surface area of both bases (the top and bottom), i.e. pi x radius squared (first base) + pi x radius squared (second base), plus the lateral surface area (the surface area of the curved side), i.e. circumference (pi x diameter) x height. Inserting the numbers: SA = pi x (2 m.) squared + pi x (2 m.) squared + pi x 4 m. x 6 m. = pi x 4 m. squared + pi x 4 m. squared + pi x 24 m. squared = 8 x pi m. squared + 24 x pi m. squared = 32 x pi meters squared.
10 x
x squared
Let k = 0 9x18 squared x 17 x 18 k is a constant. Its anti-derivative is kx + C, where C is a constant. The anti-derivative squared is (kx+ C) squared.
The derivative, with respect to x, is -x/sqrt(1-x2)
(X2) (X2) = X4 x squared multiplied by x squared is x raised to the 4th power.