Tentukan turunan dari : 1. F(x) = 3x^2 - 4x 2. F(x) = 8x^3 + 6x^2 3. F(x) = 15x^2 - 7x^2 4. F(x) = (2x-1) (3x+2) 5. F(x) = (4x^2+2) (x^2-1) 6. F(x) = 2x^3-3 / x

rumus turunan adalah
[tex]f(x) = a {x}^{n} \: maka \: {f}^{l} (x) = an {x}^{n - 1} \\ jika \: f(x) = a {x}^{1} \: maka \: {f}^{l} (x) = a \\ jika \: f(x) = a \: maka \: {f}^{l} (x) = 0[/tex]
[tex]1. \: f(x) = 3 {x}^{2} - 4x \\ {f}^{l} (x) = (2 \times 3 {x}^{2 - 1}) - (1 \times 4 {x}^{1 - 1} ) \\ {f}^{l} (x) = 6x - 4 \\ \\ 2. \: f(x) = 8 {x}^{3} + 6 {x}^{2} \\ {f}^{l} (x) = (3 \times 8 {x}^{3 - 1} ) + (2 \times 6 {x}^{2 - 1} ) \\ {f}^{l} (x) = 24 {x}^{2} + 12 x \\ \\ 3. \: f(x) = 15 {x}^{2} - 7 {x}^{2} \\ {f}^{l} (x) = (2 \times 15 {x}^{2 - 1} ) - (2 \times 7 {x}^{2 - 1} ) \\ {f}^{l} (x) = 30x - 14x \\ \\ 4. \: f(x) = (2x - 1)(3x + 2) \\ {f}^{l} (x) = (2)(3) \\ {f}^{l} (x) = 6 \\ \\ 5. \: f(x) =( 4 {x}^{2} + 2)( {x}^{2} - 1) \\ {f}^{l} (x) = (2 \times 4 {x}^{2 - 1} )(2 {x}^{2 - 1} ) \\ {f}^{l} (x) = (8x)(2x) \\ {f}^{l} (x) = 16 {x}^{2} \\ \\ 6. \: f(x) = \frac{2 {x}^{3} - 3 }{ {x}^{2} + 5} \\ {f}^{l} (x) = \frac{3 \times 2 {x}^{3 - 1} }{ {2x}^{2 - 1} } \\ {f}^{l} (x) = \frac{6 {x}^{2} }{2x} = 3x \\ \\ 7. \: f(x) = \frac{10x}{5 {x}^{2} - 3x } \\ {f}^{l} (x) = \frac{10}{(2 \times 5 {x}^{2 - 1} ) - 3} \\ {f}^{l}( x )= \frac{10}{10x - 3} [/tex]
semoga membantu