Algebra
Calculus
Trigonometry
Matrix
Question
Function
f′(x)=2500e4s4n4x3
Evaluate
f(x)=(1×sen×5x)4
Simplify
More Steps
Evaluate
(1×sen×5x)4
Multiply the terms
More Steps
Multiply the terms
1×sen×5x
Rewrite the expression
sen×5x
Use the commutative property to reorder the terms
esn×5x
Use the commutative property to reorder the terms
5esnx
(5esnx)4
To raise a product to a power,raise each factor to that power
(5e)4s4n4x4
Evaluate the power
625e4s4n4x4
f(x)=625e4s4n4x4
Take the derivative of both sides
f′(x)=dxd(625e4s4n4x4)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
f′(x)=625e4s4n4×dxd(x4)
Use dxdxn=nxn−1 to find derivative
f′(x)=625e4s4n4×4x3
Solution
f′(x)=2500e4s4n4x3
Show Solution
