BASCAL FINALS

• Theorem 1 (derivative of a constant) – if c is a constant and if f(x)=c for all x, then f1 (x)=0
• theorem 2 (the power rule) – if n is a positive and f(x) = xn then f1(x) = nxn-1
• Theorem 3 (the constant multiple rule of differentiation) – if f is a function, c is a constant and g is a function defined by g(x) = c (f(x)), then id f1(x) exist, g1(x) = (f(x)).
• Theorem 4 (the power rule for negative integer powers) – if f(x) = xn-1 is a negative integer and x≠0
• Theorem 5 (the sum and difference rule of differentiation) – if f and g are function and if n is the function defined by h(x) = f(x) + g(x), then if f1(x) and g1(x) exist h1(x) = f1(x) + g1(x)
• Theorem 6 (the product rule of differentiation) – if u and v are function and if is a function defined by(uv) = udv +vdu
• Theorem 7 (the quotient rule of differentiation) – if u and v are function and if is a function
• u – is the angle of the given trigonometric function
• du – is the derivative of u