Tentukanlah turunan fungsi berikut! f(x)=4x4−x2+9

Pertanyaan

Tentukanlah turunan fungsi berikut!

$f\left(x\right)=4x^4-x^2+9$

L. Sibuea

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

turunan dari fungsi f open parentheses x close parentheses equals 4 x to the power of 4 minus x squared plus 9

adalah

Error converting from MathML to accessible text.

Pembahasan

Dengan menggunakan aturan turunan fungsi, maka turunan dari f open parentheses x close parentheses equals 4 x to the power of 4 minus x squared plus 9 adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell 4 x to the power of 4 minus x squared plus 9 space space rightwards arrow f apostrophe open parentheses x close parentheses equals n times x to the power of n minus 1 end exponent end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator d over denominator d x end fraction open parentheses 4 x to the power of 4 minus x squared plus 9 close parentheses end cell row blank equals cell fraction numerator d over denominator d x end fraction open parentheses 4 x to the power of 4 close parentheses minus fraction numerator d over denominator d x end fraction open parentheses x squared close parentheses plus fraction numerator d over denominator d x end fraction open parentheses 9 close parentheses end cell row blank equals cell 16 x cubed minus 2 x plus 0 end cell row cell f apostrophe open parentheses x close parentheses end cell equals cell 16 x cubed minus 2 x end cell end table$

Dengan demikian, turunan dari fungsi f open parentheses x close parentheses equals 4 x to the power of 4 minus x squared plus 9 adalah Error converting from MathML to accessible text.