product
Differentiate using The product rule H(x)=(x^2)(x^3+4)
=5x^4+8x
Differentiate using The Quotient rule h(t)= (3t + t^4)/(2t^2 + 1)
(4t^5 + 4t^3 - 6t^2 + 3)/(2t^2 + 1)^2
derivative of sinx
= cosx
Differentiate using The chain rule h(x)=(x^2 + 3x + 1)^2
= 4x^3 + 18x^2 + 22x + 6
calculate using implicit differentiation x^3 y^3 - y= x
(1 - 3x^(2)y^(3))/(3x^(2)y^(3) - 1)
Differentiate using The product rule z=(4x+9)(8x+5y)
64x + 20y + 72
Differentiate using The Quotient rule f(x)=(sqrt(x) + 2x)/(7x - 4x^2)
1/2(x)^1/2 + 2)(7x - 4x^2) - (x^1/2 + 2x)(7 - 8x)/(7x - 4x^2)^2
derivative of sqrt(x)
1/2sqrt(x)
Differentiate using The chain rule f(x)= x^4(5x-1)^3
=4x^3(5x-1)^3 + 15x^4(5x-1)^2
calculate using implicit differentiation 3y^2 + 4y - 3 + 2x= 0
-2x/(3y^2 + 4y - 3)
Differentiate using The product rule h(z)= (1 + 2z + 3z^2)(5z + 8z^2 - z^3)
=5 + 36z + 90z^2 + 88z^3 - 15z^4
Differentiate using The Quotient rule f(x)= e^x/x^2
=(e^x(x - 2))/x^3
derivative of e^x
=e^x
Differentiate using The chain rule y= 7/(x^2 - 9)^1/2
-7x/(sqrt(x^2 - 9)^3
calculate using implicit differentiation y^3=x^2
=2/3(x)^(-1/3)
Differentiate using The product rule H(x)=(4x^2-x)(x^3-8x^2+12)
20x^4 - 132x^3 + 24X^2 + 96x - 12
Differentiate using The Quotient rule f(x)= (4x - 2)/(x^2 + 1)
= (-4x^2 + 4x + 4)/(x^2 + 1)^2
Derivative of cosec(x)= -cosec x cot x
=-cosec(x) cot(x)
Differentiate using The chain rule h(x)=sin^-1(4x^2)
8x/sqrt(1-16x^4)
calculate using implicit differentiation y^5 + 2y = x^2
X^ = 2x
Differentiate using The product rule y= (1+sqrt x^3)(x^-3 - (2)(cube rt x))
= -3x^-4 - 3/2(x)^-5/2 - 2/3(x)^-2/3 - 11/3(x)^5/6
derivative of x^n
=nx^(n-1)